Question
The present age of Neha's father is four years more than
six times Neha's present age. If Neha's mother is eight years younger than her father and the respective ratio of present ages of her father and her mother is 25:23. If Neha's sister, Ria, is three years younger than Neha, then what was the sum of the ages of Neha's father and Ria five years ago from now?Solution
ATQ, Let the present age of Neha be 'n' years. Neha's father's age = (6n + 4) years Neha's mother's age = (6n + 4) - 8 = (6n - 4) years ATQ: (6n + 4) : (6n - 4) = 25 : 23 Or, 23 × (6n + 4) = 25 × (6n - 4) Or, 138n + 92 = 150n - 100 Or, 12n = 192 Or, 'n' = 16 Present age of Neha's father = 6 × 16 + 4 = 100 years Present age of Ria = 16 - 3 = 13 years Required sum = (100 - 5) + (13 - 5) = 95 + 8 = 103 years
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