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    Question

    The ratio of the present ages of ‘X’ and ‘Y’ is

    9:4. If the present age of ‘Y’ had been 12 years more, then his present age would have been 33⅓% less than that of ‘X’. Find the ratio of the ages of ‘X’ and ‘Y’, 15 years hence.
    A 12:7 Correct Answer Incorrect Answer
    B 13:8 Correct Answer Incorrect Answer
    C 14:9 Correct Answer Incorrect Answer
    D 11:6 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the present age of ‘X’ and ‘Y’ be 9x and 4x, respectively. According to the question, (2/3) × 9x = 4x + 12 Or, 6x – 4x = 12 Or, 2x = 12 Or, x = 6 Therefore,
    Age of ‘X’, 15 years hence = 9x + 15 = 54 + 15 = 69 years
    Age of ‘Y’, 15 years hence = 4x + 15 = 24 + 15 = 39 years Required ratio = 69:39 = 23:13

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