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    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?

    A 86 yrs Correct Answer Incorrect Answer
    B 96 yrs Correct Answer Incorrect Answer
    C 57 yrs Correct Answer Incorrect Answer
    D 92 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    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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