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    Question

    Five years ago from now, the ages of 'A' and 'B' were in

    the ratio 31:17, respectively. Fifteen years ago from now, the ages of 'A' and 'B' were in the ratio 3:1. Present age of 'A' is how much percent more than that of 'B'?
    A 63.63% Correct Answer Incorrect Answer
    B 53.53% Correct Answer Incorrect Answer
    C 33.33% Correct Answer Incorrect Answer
    D 66.66% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the ages of 'A' and 'B', 15 years ago from now was, '3x' years and 'x' years, respectively. ATQ; {(3x + 10)/(x + 10)} = (31/17) Or, 17 × (3x + 10) = 31 × (x + 10) Or, 51x + 170 = 31x + 310 Or, 20x = 140 So, x = 7 So, present age of 'A' = 3 × 7 + 15 = 36 years And present age of 'B' = 7 + 15 = 22 years So, required percentage = {(36 - 22)/22} × 100 = 63.63%

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