Question
The present age of Priya’s father is five years more
than four times Priya's present age. If Priya's mother is nine years younger than her father and the respective ratio of present ages of her father and her mother is 27:24. If Priya's brother, Karan, is two years younger than Priya, then what was the sum of the ages of Priya’s father and Karan six years ago from now?Solution
ATQ, Let the present age of Priya be 'p' years. Priya’s father’s age = (4p + 5) years Priya’s mother’s age = (4p + 5) - 9 = (4p - 4) years ATQ: (4p + 5) : (4p - 4) = 27 : 24 Or, 24 × (4p + 5) = 27 × (4p - 4) Or, 96p + 120 = 108p - 108 Or, 12p = 228 Or, 'p' = 19 Present age of Priya’s father = 4 × 19 + 5 = 81 years Present age of Karan = 19 - 2 = 17 years Required sum = (81 - 6) + (17 - 6) = 75 + 11 = 86 years
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