Question

The sum of the ages of a boy and his brother is 25 years and the product of their age in years is 126 .find their age

Answer 1

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$<b><I>» Let the age of the Boy be x years and age of his brother be [ 25 - x ] years.$

» According to the Question, the product of their ages is 126. So,

x [ 25 - x ] = 126

25x - x = 126/x

25x - x^2 = 126

0 = 126 - 25x + x^2

0 = 126 - 18x - 7x + x^2

0 = 18 [ 7 - x ] - x [ 7 - x ]

0 = [ 7 - x ] [ 18 - x ]

Hence, We get x = 7 or x = 18

Therefore, if age of the Boy is 7 years then his brother's age will be 18 years or vice versa.

Answer 2

Answer:

Refer the attachment above.Hope it helps u.