Question
The present ages (in years) of a father and his son are
(5x + 4) and (2x + 10) respectively. If the sum of their present ages is 77 years, what will be the ratio of the father’s age to the son’s age 5 years from now?Solution
ATQ, Father’s present age = 5x + 4 Son’s present age = 2x + 10 Given: (5x + 4) + (2x + 10) = 77 7x + 14 = 77 7x = 63 x = 9 Father now = 5×9 + 4 = 49 Son now = 2×9 + 10 = 28 After 5 years: Father = 49 + 5 = 54 Son = 28 + 5 = 33 Required ratio = 54 : 33 = 18 : 11
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