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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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