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    Question

    The present average age of M and N is 26 years. Twelve

    years from now, N's age will be twice what M's age was 4 years ago. What is the ratio of M's present age to N's present age?
    A 2:5 Correct Answer Incorrect Answer
    B 7:5 Correct Answer Incorrect Answer
    C 6:7 Correct Answer Incorrect Answer
    D 11:10 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let present age of M and N is ‘x’ and ‘y’ years respectively.

    So, x + y = 2 × 26 = 52………………..(1)

    And, y + 12 = 2 × (x – 4)

    y + 12 = 2x – 8

    2x – y = 20

    From equation (1) we get

    2x – 52 + x = 20

    3x = 72

    x = 24

    y = 52 – 24 = 28

    Desired ratio = 24:28 = 6:7

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