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    Question

    The ratio of ages of A, B and C is 2 : 4 : 5 and sum of

    their ages is 77. Find the ratio of A's age to B's age ten years hence.
    A 10 : 17 Correct Answer Incorrect Answer
    B 13 : 18 Correct Answer Incorrect Answer
    C 12 : 19 Correct Answer Incorrect Answer
    D 11 : 14 Correct Answer Incorrect Answer

    Solution

    Let the ratio of ages of A, B, and C is 2x, 4x, and 5x respectively. ATQ, 2x + 4x + 5x = 77     11x = 77   x = 77/11   x = 7 10 years hence age of A = 2 x 7 + 10 = 14 + 10 = 24 10 years hence age of B = 4 × 7 + 10 = 28 + 10 = 38 The ratio of ages of A to B 10 years   = 24:38 = 12:19

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