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    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?

    A 100 yrs Correct Answer Incorrect Answer
    B 120 yrs Correct Answer Incorrect Answer
    C 103 yrs Correct Answer Incorrect Answer
    D 110 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    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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