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    Question

    The respective ratio of the present ages of A and B is

    5:6. The present age of C is 20% more than that of B. The sum of the present ages of A, B and C is 91 years. What will be the ratio of the ages of A and B after 12 years?
    A 32:47 Correct Answer Incorrect Answer
    B 47:32 Correct Answer Incorrect Answer
    C 5:6 Correct Answer Incorrect Answer
    D 37:42 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the present ages of A and B be 5x years and 6x years, respectively. Therefore, present age of C = 1.2 × 6 = 7.2x years According to the question, 5x + 6x + 7.2x = 91 18.2x = 91 Or, x = 91/18.2 = 5 Therefore, required ratio = (5x + 12):(6x + 12) = 37:42

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