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    Question

    The ages of B and C are in the ratio 2:3, and the

    product of the ages of A and B is 768 years, with A's current age being x years. If the ratio of the ages of C to D is 8:5 and the product of the ages of D and B is 960, determine the value of x .
    A 18 years Correct Answer Incorrect Answer
    B 22 years Correct Answer Incorrect Answer
    C 24 years Correct Answer Incorrect Answer
    D 26 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Ratio of the ages of B, C and D = 16:24:15 Product of B and D = 960 16y * 15y = 960 y = 2 B’s age = 16 * 2 = 32 years A’s age = 768/32 = 24 years

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