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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? |
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Answer» 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 |
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