Question

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

Answer 1

Let ths age of boy be ( x ) years and age of his brother be ( 25 - x ) years

Product of their ages = 126

=> x ( 25 - x ) = 126

=> 25x - x² = 126

=> x² - 25x + 126 = 0

=> x² - 18x - 7x + 126 = 0

=> x( x - 18 ) - 7( x - 18 ) = 0

=> ( x - 18 ) ( x - 7 ) = 0

=> x = 18 or 7

Hence, age of boy = x = 18 or 7 years

Age of his brother = ( 25 - 18 = 7 ) or ( 25 - 7 ) = 18 years

Answer 2

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