maths

Added: 2026-05-30

[00:00:00]No need to write the number. There is no need to find the sum of all and then divide it by 30. Now you can put the value directly. Like this [laughs] I explained your n even natural numbers yesterday that if you are given 40 even natural numbers like 2 4 6 8 and if you want to find their average then you will write down all the 40 even numbers and add them up and divide by 40.

[00:00:21]time consuming. What is the better value of n given by this? 40 you will make 40 plus one.

[00:00:27]41 This will be your answer. This was completed yesterday. Look ahead, I missed it. Let us look at the questions next.

[00:00:48]The number three is the average of five eight and eight. I have taken a simple sample of what I practiced yesterday. Is it clear to you or not?

[00:00:58]What will we do? Four numbers are given here.

[00:01:00]Our formula for finding the average is the sum of observations divided by the number of observations. I will sum it all up.

[00:01:07]What will we do here to do yoga? Three plus three plus five, we will write down all the numbers. Three plus 5 plus 8 plus eight divided by four will be equal to 4. Okay, three plus five plus eight plus 8 divided by four. If we add all of them, what will be the result?

[00:01:35]Five and three divided by eight, eight and eight divided by 16 and eight divided by 24. What will be the result? Four equals 6.

[00:01:44]So what will be my answer?

[00:01:48]Six.

[00:01:49]Is this average clear? Look ahead. The average of the first five qualities of two will be. The first five multiples.

[00:01:59]What does multiple mean? I explained it yesterday.

[00:02:03]You have to find the multiple of two. A multiple of two. A multiple of two. How many multiples should I write? Five.

[00:02:12]So multiples means multiples. That means you keep multiplying it by 1 2 3 4 5 6 continuously. First of all, if you multiply two by one, you get two. If you multiply two by two, you get four. If you multiply two by three, you get six. If you multiply two by four, you get eight. And if you multiply two by five, how much will you get? 10. What is this between us two?

[00:02:37]is a multiple. How many multiples of two [laughter] are you telling me? Five multiples. So I'm going to multiply the numbers one two three four and up to five. If he had said seven times, she would have multiplied it by six and also by seven. This became my multiple.

[00:02:51]Now what is he asking me to know? I am not talking about average yoga. Speaking of average. Pay attention to the words.

[00:02:58]Speaking of average. I mean, what do I have to do?

[00:03:00]I have to sum it all up here. We will add and then what is the number?

[00:03:06]One, two, three, four, and five. What will I do with him? What do I have to do with the number of fractions of five? Have to divide. Now everyone has done their yoga. Four and two six and six 12 and eight 20 and 10 30 over five. How much is it? Six.

[00:03:24]My answer came six. By the way, tell me one thing.

[00:03:28]I had told you guys a formula. That can make you direct. I had told you that if any series of any number has been given, you people have been given a category. Even if it started with four or six, I could have found it using this formula.

[00:03:44]If the difference between all is the same six eight and 10 if the difference between all is how much sorry this will come to four. How much difference is there between all of them? There is a difference of two.

[00:03:58]What would you do if the difference between everyone is the same? The first number What will you do with both the first number and the second number? You will do yoga and what will you do with two? Part. Sorry not the second but the last number.

[00:04:20]What will we do here? The first number is a formula, remember it well, it will be used in many places. What will be your first number plus the last number divided by two? This is your first number.

[00:04:37]What is your last number? 10.

[00:04:40]Add both 10 and two. What will be 12/2?

[00:04:43]What will be your result? 6.

[00:04:51]After the class, see what is the average of the next three numbers? It is 12. What is the average of the three numbers? 12 then tell me what will be the third number? If the first two numbers are 10 and 11 respectively. Yesterday I had asked you some questions of this type.

[00:05:14]This has been cleared.

[00:05:16]Delete this. Rough it out. This was the first question I made. This is your second question.

[00:05:24]Ok? This is a different method for your second question.

[00:05:26]Now look at the third question.

[00:05:29]What will we do here for the third question? The average of three numbers is given. If the average of three numbers gives what? 12 So I will calculate its total. What should you do first?

[00:05:45]What will the three qualities do?

[00:05:58]Look, I have made the PDF of the average of three numbers. Is the average of three numbers 12? What is the number? Three numbers. And how much is it giving on average? 12. What will you do?

[00:06:45]Then it will come again, okay, it will work, the average of three numbers is 12, tell me what will be the third number, if the average of three numbers is 12 [sound of clearing throat] it means [laughter] what is their sum 36 36 12 * 3 = You will always do it like this, as many numbers are given and the average is given, it means that it is given for one, you will find the sum of three 3 * 12 = 36 if the first and second numbers are 10 and 11 respectively.

[00:07:19]What is the first number? What is 10 and the other number? 11 What will be the sum of both? 21 What number was this? Two. What number is this? There are two numbers, you subtract them.

[00:07:32]One out of six went to five. Two out of three is 15. Here also two out of three is also a number.

[00:07:40]This is also a number. If two is subtracted from three then one means how much is one number. 15, then its answer will be 15. Exactly, in this way all the questions will be made. What is the average of five numbers?

[00:07:52]12 is given, that means the average of one is given.

[00:07:55]What will you do if you find out five? Here 5 * 12 equals 12 * 60. Here what we are finding out is that we are finding out the sum of five numbers.

[00:08:10]What is the number five being found?

[00:08:13]sum. This type of questions come in the exam.

[00:08:15]And the sum of four numbers is 50. Now pay attention, this is giving yoga here. This is not writing average. The sum of four numbers.

[00:08:27]Write the number below the number that means four numbers. Please write the sum below the sum.

[00:08:30]How much are you giving? What is the sum of four numbers? 50 Now you minus this. How much will be left? How much is left of five out of six? 10 How much is four out of five? Meaning a number which a number which fifth number is left what is mine? It is 10.

[00:08:47]This type of question will be created. Is it clear?

[00:08:53]See. Now look ahead.

[00:09:02]If the average of 25 students is eight.

[00:09:28]In which did it come? Here is God, look at you guys right here, what is the average of 25 students? It is eight.

[00:09:55]Look here yoga has been given to you as it is.

[00:09:57]How much [screaming sound] did you give yoga? The average of 25 students has given you eight. How will you do it?

[00:10:15]Gave yoga also. Meaning, if you do 25 * 8 and it does not add up, then how much would you have got? 200. There are 25 students, their total becomes 200. The average of five students is What is?

[00:10:31]average. What is the average of five students speaking? What is 12 equal to? 60 This yoga has also been written in the dictionary.

[00:10:41]What will be the average of 20 students? This is a different question. You see here, first you subtract it, it becomes 60. I came here. You minus this.

[00:10:59]0 4 is subtracted from 20 and here how much will be left one will be left 140 ok here 5 is subtracted from 25 how much is left your 20 this means what is the sum of your 20 numbers 140 if you were asked what will be the sum of 20 numbers then we would have written 140 but its [laughs] question is what is the average of 20 students if I know the sum and want to find its average then what will I do? I will divide 140 by 20.

[00:11:39]So what will happen? If you divide 140 by 20, how much will you get? How much is 140 B?

[00:11:47]Seven. So what will be its answer? Seven.

[00:11:52]Ok?

[00:11:54]You guys see the next question. The average of the first 10 even numbers is. Tell me the simple formula that I told you.

[00:12:06]What will come if you are saying the first 10 of the first 10 even numbers?

[00:12:10]Average of odd numbers is n + 1 and average of even numbers is n + 1. So what will be 10 plus one? 11.

[00:12:22]Ok? Mean of first eight odd natural numbers: You must note one thing, whether we are talking about average or arithmetic mean, both are found in the same way. This is the same formula for arithmetic mean.

[00:12:34]Sum of observations divided by number of observations Both mean and median are different.

[00:12:40]This is what the mean is saying. What is he saying?

[00:12:43]Mean is the arithmetic mean. Ok? This average will also be found in the same way. If it is written that the mean of the first eight odd natural numbers is. Now tell me if eight is the first eight odd natural number then what will be its mean? It will be only eight. If it is n then what will be the answer? Eight.

[00:13:05]Ok? See the next question.

[00:13:11]If the average of 19, 31, 42, and x [laughs] is 28, then the value of x is, tell me what you will do. Look, how many numbers are there, 19, 31, 42, and x, what do you have to do? 19 + 31 + 42 + x divided by how many numbers is 1, 2, 3, and four equal to what? 28. What value do you need to find? You have to find the value of x.

[00:13:42]You guys make it. For what?

[00:13:53]Yes.

[00:13:54]Who? In the result that just came. The result just came in. Oh wow! Congratulations son. What rank did you get? They do n't tell the rank, just the result.

[00:14:04]Yes, you will go into it.

[00:14:05]Yes. Do you write your full name? Which village are you from?

[00:14:08]Rakesh Kumar Bagdi. Of the river Bagh.

[00:14:11]Maharashtra border.

[00:14:14]You study here, right? I used to study here. I have passed out. I was still doing 12th college.

[00:14:20]So how do you know me? You are there. I came to class just one day. Just now?

[00:14:25]Yes. Did you just come? Did you teach for one day or two?

[00:14:28]Yes yes yes. Come on, come on. Thank you son. If sir is here then please send it to me, you are facing some problem in the PDF, you also eat a little son, yes I will eat son, I will take it, you also eat from my side then you will join, it is confirmed, I am sure, there is joining on 22nd June, we have joining, okay then go and give your number, your mobile number, my number, do you have a mobile, if not then send it to me right now and also WhatsApp it by writing your name, my voice is a little like that. Nothing happens. You will have to write the number.

[00:15:06]98279 9827 7948 48 39 If you want to send it to Sir, son, the Sir who was here, come, thank you and best of luck son.

[00:15:22]Come to meet me further, there is posting in Shukla Dhyan, okay, Higher Secondary, name home, near Gayatri School, come here to meet me, okay, let's make a question for you guys, 19 + 31 + 42 + x / 4 = 28, what will you do, if you multiply 28 by four, how much will you get, 100 [nasal sound], if you add 12 and 19 + 31 + 42, how much will you get, how much will you get, 92 + x Sir, this is it, this page needs to be separate, it came together completely, in the middle it was asking to save the file a little, yes sir, see, what is the equal of 19 + 31 + 42 + x / 4?

[00:16:43]28 What did you do? 19 will first add 31 and 42.

[00:16:46]Nine and one 10 and two 12 equals two one one and one two two and three five five and four nine plus x divided by x is four.

[00:16:59]You multiply it by four here. What is 28 * 4? 4 * 8 = two times three of 32 4 * 2 = 8 and 112 92 plus x becomes equal to 112 x will come out to be equal to 112 - 92 what is the value of this 11 is 9 gone from 20 so its answer will come out to be 20 if you wanted you could have done this also 19 31 and 42 would have added them all and what came out to be 92 now which numbers will you add in 92?

[00:17:34]How much is 92 b? Four. What number would you add to this so that when you solve it you get 28?

[00:17:40]You could add to this and see. The value of x only has to be found. Shouldn't that have been his average? So now you can find it out from here also through the option.

[00:17:50]Ok?

[00:17:51]You guys will see further. Next, today you have studied ratio and proportion. What happens?

[00:17:58]Ratio proportion?

[00:18:02]What do we do when the ratio? It shows the relationship between two equal quantities.

[00:18:12]What is the relationship between people who have the same zodiac sign? What is the ratio?

[00:18:15]So how do we represent this relationship? Shown by ratio.

[00:18:32]How do you put the ratio sign? a b Like if I want to write a b then I will write a b What is proportion? If the ratio of the first sign to the second sign is equal to the ratio of the third sign to the fourth sign, then what is it called? Proportion. The first quantity and this is done, if the ratio of both the first quantity and the second quantity is equal to the ratio of the third quantity and the fourth quantity, then we say that these quantities are proportional.

[00:19:07][sound of clearing throat] Okay? See second thing third. If the ratio B is given to you and you are asked to find its square ratio.

[00:19:19]What is he telling you to find out? Square ratio.

[00:19:22]Square ratio means you have to square it.

[00:19:26]What will you do then? You will square a and also square b. For example, if a b is equal to 2, if I am given 2 ratio three and I am asked to find its square ratio, then if I have to find its square ratio, that means what will I have to do, square ratio of a to square of b, then what is the square of 2 in place of a, how much is the square of 2 in place of b, it will become 3, this will become 3, what is the square of 3 to square of 2?

[00:20:04]What is the square of four and three? nine. So the question asks if a b = 2 is the ratio three, so what would be the square ratio? 4 ratio 9 Now let's focus on this. Ok? Next, if you are asked about the fourth square root ratio, if you are given a b and if you want to find its square ratio, then what will be the square root ratio? Square root A ratio square root B Okay. For example, if you are given the ratio 25 to 36, you have to find its square root. Pay attention, there is a difference in the words of both square ratio and square root ratio. What will be the square root ratio?

[00:21:26]Square root A ratio square root B means square root 25 ratio square root 36 so square root 25 means how much it is five and square root 36 means how much it is six 5 ratio 36 will become square cube ratio fifth. It is clear from the word cube ratio that what will be a to the power of 3 b to the power of three cube means what is it doing to the power of, it is cubing it, it is doing triangular ratio, if a b is given to you equal to 1 2 and you have to find the cube ratio.

[00:22:20]What will you do with it? a to the power of three ratio b to the power of three. Ok? What will be the result? One to the power of three is the ratio two to the power of three. What will happen? One ratio eight. This became the cube ratio.

[00:22:38]The sixth, if someone tells you that cube root ratio, what will you do in cube ratio, it can also be written as one over three or you can also write it like this, a to the power of one over three, b to the power of one over three, this becomes cube root ratio, as if something has been given to me, like the number a b is equal to, we have been given 8 anu 125, if you have to find its cube ratio, then you have to find the cube ratio, then what will you do, it becomes one, so for this you know that two to the power is 3, this two to the power is three and what is this? The power of 5 is three. It will come out to be 2 times five.

[00:23:56]Ok? Or you can do 1/3 also. So what is three and three? It will be cut. You can also write it like this [laughs] or by doing 2 to the power of 3 to the power of 1/3, one line 8 ratio 125 has been given, so I have to find the cube root ratio of eight, so two eight means two to the power of 3 to the power of 1/3, it becomes 125, what will be the power of five to the power of three, 1/3, what will be three and three, if it is subtracted then how much will it be, 2 ratio five, this type of question will come, you people will be able to solve it.

[00:24:35]Our people come next.

[00:24:45]See the type of ratio questions that will be asked in the exam. First of all, what would be your ratio of 5 kg / 800 grams?

[00:24:58]And the same amounts remain.

[00:25:00]Find the ratio between them. Kilograms are given above. Grams are given below. So, first of all you will have to make the units of both of them equal.

[00:25:11]So what we do is that it is easiest for the student to convert the big amount into a smaller amount.

[00:25:15]So we know that 1 kg is equal to how much is 1 kg equal to? It is 1000 grams.

[00:25:29]1 kg equals 1000 grams.

[00:25:34]How much will 15 kg equal to me? 5 kg will be equal to 5000 grams. What will I do now? 5 kg is 800 grams. I have to find its ratio. So I can write 5 kg. First of all I wrote the question 5 kg b 800 grams. You do n't have to make it so short in the exam. This is my 5000 grams.

[00:25:59]Divide this by 800 grams.

[00:26:05]Zero will be deducted, zero has been deducted, how much is left of yours 50 / 8, this will also be deducted, from which will it be deducted, from two it will be deducted 2 [screaming voice] * 4 = 8 and 2 * 2 = 4 and 2 * 5 = 10, how much has come, 25 / 4 means you have got it, 25 4 means which answer will be yours, this is C, your answer is done, okay, work with speed in the exam. Right now I am explaining it to you very slowly.

[00:26:38]What will be the proportional form of 27 /21?

[00:26:42]Proportionately means to tell in proportion.

[00:26:46]You can see it simply, it is not given in the option.

[00:26:50]This means simplifying it. Let us simplify this. 27/21 is the second question. This is my 27/21, please see, is it being cut by anyone?

[00:27:05]Cuts by three. 3 * 7 = 21 and 3 * 9 = 27 9 / 7 means I am done 9 7 keep in mind this happens very often in a hurry. We will at least find the answer. But we make a mistake while ticking. Like if 9:7 came somewhere, we have not put 7:9.

[00:27:26]Even after solving it, we still make mistakes.

[00:27:29]So pay attention here because the option is always confusing. Look further, what will be the proportional form of 100 cm by 50 cm? Now tell me, look, this is also a centimeter and this is also a centimeter.

[00:27:46]Both are centimeters, so there is no need to convert them.

[00:27:53]You can cut it.

[00:27:55]Look at the third question, subtract 100 from 50.

[00:28:00]Zero minus zero subtracted 5 * 1 = 5 5 * 2 = 10 2 / 1 One is left at the bottom 2 b one means what will be 2 ratio one this is its answer you must have practiced this type of thing in the morning this type of thing must have been cleared it is done see further this type of questions come.

[00:28:33]All this is important. If x: 5 = 7: 55 then the value of x is It's very simple. The fourth question you have written is x 5 equals 7 ratio 55 x 5, I can write it as x / 5, okay. 7 55 We can write this as 7 / 55 What will we do now? We will multiply it diagonally.

[00:29:14]Now this is our cross multiplication here. Now see, while doing cross multiplication x * 55 will come here. What is 5 * equal to?

[00:29:26]Seven. Done it. Don't multiply these two right now.

[00:29:31]Just let x be the same. 5 * 7 is 55 times. What will happen by coming here? The part will be done.

[00:29:43]This is seven. Who will cut it? This won't cut it. This will be your seven as it is.

[00:29:48]Five will be deducted here. 5 * 1 = 5 and how many times did it come? 11 Your value of x is here 7 / 11 This x is equal to 7 / 11 Here is my answer 7 / 11 Okay, let's see further, rough it out, if you do n't want to note it down, let's tell you that. See the sixth question.

[00:30:34]If a b = 59 70 means 59 70 then what is the ratio b? We could not tell about this.

[00:30:45]What will happen to b? A b is given.

[00:30:49]What will be b a?

[00:30:52]What will happen, reverse it, it has been reversed here, you reverse it, reverse it, it is called inverse proportion, okay, if a is b then this will become b a inverse, if it is reversed here then you reverse it, it will become 70 ratio 59 this is your answer C, okay, okay. Come forward. Now our people in this question. The ratio of the ages of father and son is 4:5.

[00:31:40]Total age is 45 years. Father's age will be As you people have known before. First let me tell you that pattern once.

[00:31:51]Then I will tell you guys how to find this pattern in short. Ok?

[00:31:55]What do you people always believe, like the age of father and daughter is given, what do you believe? Do you believe that the age of the father is equal to the age of the father?

[00:32:10]How much is this equal to the father's age? 4x After this, how much age of this son will you take?

[00:32:21]Added both as per question 5x. 4x plus 5x equals what is the sum of the two given?

[00:32:32]What is 45 5 and four? What is 9x equal to? 45 x is equal to nine times. I ran away after coming here.

[00:32:40]What is x equal to? Five. The value of x came out to be five. Father's five has not come yet.

[00:32:46]Ok? Now we will have to respect this father's age.

[00:32:49]So father's age is asking to find out the father's age. So how old was our father? 4x means what will we do? Put the value of 4 * x as five. How much is it? 20 years. Did you understand? If my son had said something, what would I have trusted? What is 5 x 5 * 5? [laughter] 25 There are questions like this 4 5 I have done it, you will have to do it as given 20 Okay [sound of clearing throat] the father will always be older 5 4 See, if you had to calculate this directly, how would you calculate it? The ratio of the ages of the father and the son is 45.

[00:33:45]Whose age do we want to find? The age of the father is to be found. How much is he saying about his father? Four is speaking. Ok? So this will be 4 divided by what is the total? What is five and four? nine. What is five and four? nine. What is the total age multiplied by? 43 multiplied by 45. 9 * 5 = 43 and 5 * 4 becomes 20. You do n't need all that calculation. Ok?

[00:34:18][nasal sound] Look ahead.

[00:34:25][nasal sound] Anu and Tanu have a total of 10 chocolates. You guys please tell me the shortcut method.

[00:34:33]How many chocolates do Anu and Tanu have in total? There are 10 chocolates. It is divided between the two in the ratio of 2 to 3.

[00:34:40]So tell me how many chocolates will Tanu get? I have to tell Tanu. Tanu means this is the second Tanu.

[00:34:51]This Tanu of the second one who is speaking is the Tanu of the second one. Let's see six, brother. See how much Anu Bate Tanu or Ratio Tanu is telling about itself? 2 ratio three. Ok? What do we have to do? How many chocolates will Tanu give us? How much will you receive? This has to be known.

[00:35:15]What is the fraction of Tanu? Three.

[00:35:20]What is the total of the three parts written above? How much is three plus two? We will make two plus three here.

[00:35:27]How much is it? Five. So let us directly write five here. How much chocolate is there in total? 10 5 * 1 = 5, 5 * 2 = 10. How much is tripled? How many chocolates will six get? You will receive six chocolates. If you had talked to me about Anu, how much would you have written?

[00:35:46]How many chocolates will Anu get?

[00:35:49]Four.

[00:35:50]How much will Anu get? Four. Anyway, we know if Tami is getting six chocolates.

[00:35:54]So subtract six from 10. You will get four. And if not, get it out of there. Now see, if you start understanding a little concept slowly then you will find many methods yourself.

[00:36:04]How to solve that. So how much would it be here? How much will be the result of Anu 2 by three and two, how much will be the result of five times 10 5 * 2 = 10, how much will be the result of four, it is clear, see further, express the numbers 30 and 48 in the ratio, tell me how much will you get, 30 and 48 have to be expressed in the ratio 30 48 48 30 48, first of all you simplify it. He is talking about Saral only. Cut it. If it gets cut, then who will cut it with?

[00:36:51]Cut directly from six. What is the sum of 6 * 5 = 30 and 6 * 8 = 48? On solving 5 8, we got 5/8, so we could have divided it by two or three.

[00:37:05]58 means what will be the answer? A 58 This One Is The Answer.

[00:37:15]See further, these questions are important. Finding the third proportional, finding the mean proportional, finding the fourth proportional. These types of questions are asked in the exam.

[00:37:32]All the questions are of one type each from ratio and proportion. Let us first look at question number 12.

[00:37:43]Question number 12 After that, both questions will be taken. The fourth proportional to 3, 7 and 15 is Fourth proportion means talking about the fourth number quantity.

[00:37:57]So what do we do?

[00:37:59]Fourth proportion means that the number given is a proportion.

[00:38:05]You just have to find out the amount of the fourth number. So we considered this as proportion. What is the fourth number fourth ratio? x is. What do we take the fourth proportion to be? Let us assume x. So this will be my 3 ratio 7 proportion, meaning put it directly. This is 15 ratio [screaming sound] what is it? x is it ok? I took the fourth number. You can write this proportion here if you want. You people have studied in equal proportion. Please apply this proportion. This is the first number amount and the second number amount. The order is the same.

[00:38:42]I have not changed the order. The third number was 15 and the fourth proportional was to be found.

[00:38:47]I took x from him. Now I will write this in divisions. This is my 3/7, this is our 15/x, now what will we do with both of them? Will multiply it. So this is mine, 3 * x is equal to 7 * 15 x is equal to what? 7 * 15 / 3 3 * 5 = 15 How much is 7 * 5? 35 Now see, its answer is given, it will become 35. If this question comes, it should not be missed.

[00:39:25]Such questions come. It is important and what has just been mentioned about division are questions.

[00:39:30]Now let's look at question number 10 which we had left.

[00:39:35]Question number: Find the second proportional to 10 15 3 8. I have given three amounts.

[00:39:47]Second proportion means you have to find the amount of the second number.

[00:39:50]Given proportion means there are four quantities there.

[00:39:54]Second proportion means I have to find the amount of the second number.

[00:39:58]What did I assume a second proportion to be? x What will happen to me then? 15 x proportional to the second number 3 8 15 / x = 3 / 8 then multiply 15 * 8 = 3 * x you leave x here. It is in three times. We will transpose three.

[00:40:27]So how much will it be? What is 15 * 8 / 3? 3 * 5 = 15 How much is 3 * 5? 15 then how much will it cost? 5 * 8 = 40 What is my value of x? 40 here x equals 40.

[00:40:52]Ok? It will be made.

[00:41:00]Rough it up. This was our question number nine.

[00:41:03]Nine 10 11 numbers are left. I have told you 12. See, the 11th question will be the third proportional of five and 10.

[00:41:16]Third proportion means you have to find the third number. I have given you two amounts. I mean, what will you accept? What will we take the third proportion to be? x What did you take this to be? Let x be our third proportional. x is.

[00:41:36]So what does 5 ratio become 10 ratio? x is it ok? Take the third number x. what happens now? What do we do when you've been given three amounts? This 10 will also come with five. The 10 will also go with x.

[00:41:54]So it is written like this also. 5 10 equal or proportion 10 ratio x okay? So 10 came with five as well. 10 Who did you go with?

[00:42:06]With x. I could have also written this directly as 5/10 = 10 / x. I can come here directly also.

[00:42:13]Is it clear?

[00:42:16]5 / 10 I told you five 10s would come along. Will come with 10 x. What will we do with it now? Here we will do diagonal multiplication. This will become mine 5 * x equals 10 * 10 multiplied by five. What will happen by coming here? Divided into five parts, it will become 10 * 10 / 5 * 1 = 5 5 * 2 = 10 x is equal to what?

[00:42:44]10 * 2 means how much did you get? 20 So what will be the answer to this? It's 20 okay? This will become the question. Most empty question. We are coming to the next question.

[00:43:03]And were there any other questions left out somewhere below?

[00:43:09]This was one question left. Let's just take a look at this. The ratio of two numbers is a b = 9 2.

[00:43:16]Ok?

[00:43:18]If the smaller number is 18 then what will be the larger number? Now the sum of both the numbers is not giving you. Pay attention to what we do here? We assume equal to a.

[00:43:31]See what he is giving us?

[00:43:34]a b equals giving us 9 2 a equals, let's assume 9x b equals, we will also tell you the shortcut. Ok? The smaller number is 18. Smaller number means which of the two is the smaller number? b is the smaller number. Are you able to understand by looking at the ratio?

[00:43:55]What is B? It is a small number. So how much is this 2x equal to mine? 18. The smaller number is 18. Meaning 2x is equal to 18. So x is equal to 18 / 2, so what is it?

[00:44:09]nine. x equals how much is mine? nine.

[00:44:13]What do I want to know? Large number. Big number means I have to find a a means what is my 9x 9 * 9 equal to, 81, see, did you understand, it will be done, let's do one or two more questions of this tomorrow.

[00:44:53]Look, here it is.

[00:45:00]This was your question. This too has been completed. Look at question number 13.

[00:45:04]If the ratio of A B is 5:9 and B ratio will be C.

[00:45:33]Look, what is the ratio of a to b saying? 5 9 a b is equal to 5 9 so I can write this as what is a b equal to? 5/9 ok? This is an important question.

[00:45:53]Ratio of B and C Ratio of B and C gives me 6 11 Ratio of B and C gives me 6 11 means B / C is equal to 6 / 11 ok now what I have to find is find the ratio of a b c. It's simple in this.

[00:46:19]You guys will read a lot of books. Many formulas will be explained in it. You guys should not go by the formula.

[00:46:25]How much will you miss Phoebe? Yes, we cannot do it in this formula. So just understand its basic concept. Finding a b c is a simple thing. This b that you are seeing, the value of this b should remain the same in both.

[00:46:40]a /b = 5/9. b /c = 6 / 11.

[00:46:47]So if these two become equal, if these values ​​become equal then I can write a b c.

[00:46:54][laughter] What does it take to even it out? The least common multiple of nine and six just needs to be equal.

[00:47:01]So what will be the least common multiple of nine and six? You can take that out directly.

[00:47:06]Find the least common multiple of nine and six.

[00:47:12]Read the multiplication table of the bigger number.

[00:47:14]What is the first bigger number? It is nine.

[00:47:18]Does nine come in the table of six? Does it come in the multiplication table of six? Nine doesn't come. Keeping this in consideration, what number comes after nine?

[00:47:25]18. 18 came in the multiplication table of nine. Does 18 come in the multiplication table of six?

[00:47:32]18 comes in the multiplication table of six, right? Meaning its least common multiple is 18. Don't do anything. What happened to his 18? Least common multiple is reached. Now 18 becomes my least common multiple. Now what should I make of it? 18. What to make of both? 18. So what do I have to do to make nine into 18? Both will have to be multiplied by two. What will have to be multiplied? Of two. Only then will 9 times 18 be equal to 18.

[00:47:55]This is my 10 by 9 doubled, how much is it? It's 18.

[00:48:01]Similarly, here I have to make six into 18.

[00:48:05]What should I multiply 6 by to make it 18? of three. If I multiply the numerator by three, what do I have to multiply the denominator by? You will have to multiply it by three. This is 18/33. Now you see a divided by b is equal to your 10/18 b/c is equal to 18/33. Now when both these b are equal then I can write a b c. Now see what will be my a b c? A How much have I got?

[00:48:35]10. What is the value of B? 18. And what is the value of C here? 33. So the answer to this will be my 10 ratio 18 33. This question is asked. Firstly, I will tell you one or two more questions from A B C tomorrow in the next class. But practice it. This is asked. This is the most time-asked question.

[00:48:58]Ok? Just what do you have to do?

[00:49:01]Whatever is given has to be balanced.

[00:49:05]This has to be made equal. You can take any number.

[00:49:06]Ok? It will be made. To make it equal, we found its smallest. The smallest is 18. So what did we make of both numbers? 18.

[00:49:18]What should nine be multiplied by to make 18? From two. So if I'm multiplying the denominator by two, I'm going to have to do the same thing to the numerator.

[00:49:23]So I multiplied it in the numerator as well and it came to 5 * 2 / 9 * 2 10 / 18.

[00:49:29]And I have to do the same thing to make B here also 18.

[00:49:32]So what did I have to multiply that by? From three. So multiply the numerator by three and the denominator by three, so 18/33. Now what has happened to me here?

[00:49:42]My B is equal. So I don't have any problem. I can write 10 18 33. Ok? Will these questions be answered?

[00:49:52]So you guys should rough it.

[00:50:30]Okay, so today's class of yours completes here. Today I have completed average for you and also completed a little bit of ratio proportion, maximum 70%, which is going to come in your syllabus. There are a few more types of questions left.

[00:50:46]He will call you to class tomorrow and start a new topic for you. Ok? Ok.

[00:50:52]If you have any such topic in which you have problem, then please write in the comment and tell me that madam, please clear this topic.

[00:50:58]So I will clear that topic to you all.

[00:51:00]Ok? Thank you.