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    Question

    Ratio of present ages of mother and her son is 24:8

    respectively. Father’s present age is 14 years more than that of mother. If the present average age of mother, father, and son is 40 years, then find the ratio of present ages of mother and father respectively.
    A 12:13 Correct Answer Incorrect Answer
    B 13:14 Correct Answer Incorrect Answer
    C 24:31 Correct Answer Incorrect Answer
    D 16:17 Correct Answer Incorrect Answer

    Solution

    ATQ, Let present ages of mother and son be ‘24x’ years and ‘8x’ years respectively. So, present age of father = (24x + 14) years So, 24x + 8x + 24x + 14 = 40 × 3 = 120 Or, 56x = 106 Or, x = 2 Present age of mother = 24 × 2 = 48 years Present age of father = 48 + 14 = 62 years Desired ratio = 48:62 = 24:31

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