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    Question

    The ratio of the present ages of A and B is 10:7. After

    8 years, the ratio of their ages will be 12:9. Find the ratio of their ages 12 years ago.
    A 5:6 Correct Answer Incorrect Answer
    B 7:4 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 A and B be 10x and 7x years, respectively
    (10x + 8) / (7x + 8) = 12 / 9
    Or, 90x + 72 = 84x + 96
    Or, 6x = 24
    Or, x = 4
    Required ratio = (10x – 12) / (7x – 12) = (40 – 12) : (28 – 12) = 28 : 16 = 7 : 4

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