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
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» 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.
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