This video demonstrates how to solve age-related word problems using algebra by translating verbal information into mathematical equations. The problem involves finding Karnan's age given that Gopal is 8 years younger than Karnan and the sum of their ages is 30. The solution process involves: (1) assigning variables to unknown quantities (Gopal's age as X, Karnan's age as Y), (2) creating equations based on the given relationships (X = Y - 8 and X + Y = 30), (3) substituting one equation into another to eliminate a variable, (4) combining like terms to simplify the equation, and (5) solving for the unknown variable through inverse operations. The final answer shows that Karnan is 19 years old.
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TN CLASS 6 INTRODUCTION TO ALGEBRA EX 2.2 SUM 5本站添加:
Hello viewers, I'm Maithili.
Gopal is 8 years younger to Karnan.
If the sum of their ages is 30, how old is Karnan?
Let Gopal's age be X.
Karnan is Y.
Equal.
Equal.
X is equal to 8 years younger to Karnan.
8 less So, Karnan's age is Gopal's is equal to put on 8 years younger to Karnan.
If the sum of their ages is 30 Sum of their ages is 30.
So, you add equal to 30.
So, X plus Y is equal to 30. You write it down.
>> equal to 30 y minus 8 plus y is 30 x is equal to y minus x and y y minus 8 y minus 30 y plus y like terms like terms like add them y up here put number add them number one one number one plus one two and I don't two y minus 8 is equal to 30 number variable number variable number 8 number plus two number minus number plus 8 I don't number two 30 plus 38 y number y or two number number number number number number number number number number number number number number number 38 divided by two two ones remainder two nines are 18 zero y is equal to 19 Karnan is 19 years old.
Thank you.
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