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CBSE Class 8 Answered

Sanjay is now half as old as his brother.In 6 more years he will be 3/5 as old his brother then. What is the present age of each boy
Asked by shivmuni002 | 18 Dec, 2022, 08:34: PM
answered-by-expert Expert Answer
If Sanjay's brother is x years old. 
Then, as per the given statement, Sanjay's age is x/2 yrs.
 
Their ages after 6 years.
Sanjay's brother = x + 6 years
Sanjay's age = x over 2 plus 6 years
 
As per the Question,

straight x over 2 plus 6 space equals space 3 over 5 left parenthesis straight x plus 6 right parenthesis
 
x over 2 plus 6 equals fraction numerator 3 x over denominator 5 end fraction plus 18 over 5
x over 2 minus fraction numerator 3 x over denominator 5 end fraction equals 18 over 5 minus 6
fraction numerator 5 x minus 6 x over denominator 10 end fraction equals fraction numerator 18 minus 30 over denominator 5 end fraction
fraction numerator negative x over denominator 10 end fraction equals fraction numerator negative 12 over denominator 5 end fraction
x equals 24
 
So the brother's age = 24 years and his age is 12 years.

Answered by | 19 Dec, 2022, 01:00: AM

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