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    Question

    Six years ago, the age of P was twice the age of Q.

    After 6 years from now, the age difference between P and Q will be 18 years. Find the present age of P.
    A 55 yrs Correct Answer Incorrect Answer
    B 24 yrs Correct Answer Incorrect Answer
    C 38 yrs Correct Answer Incorrect Answer
    D 42 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the present ages of P and Q be x and y years respectively.
    x – 6 = 2(y – 6)
    x + 6 – (y + 6) = 18
    ⇒ x – y = 18
    From first equation:
    x – 6 = 2y – 12
    x = 2y – 6
    Substitute in second:
    2y – 6 – y = 18
    y = 24
    x = 2(24) – 6 = 42
    Present age of P = 42 years

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