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    Question

    The ratio of the present ages of M and N is 6:5. After

    15 years, the ratio of their ages will be 9:8. Find the ratio of their ages 10 years ago.
    A 5:6 Correct Answer Incorrect Answer
    B 7:5 Correct Answer Incorrect Answer
    C 5:4 Correct Answer Incorrect Answer
    D 4:3 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the present ages of M and N be 6x and 5x years, respectively
    (6x + 15) / (5x + 15) = 9 / 8
    Or, 48x + 120 = 45x + 135
    Or, 3x = 15
    Or, x = 5
    Required ratio = (6x – 10) / (5x – 10) = (30 – 10) : (25 – 10) = 20 : 15 = 4 : 3

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