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      Question

      In three years, the age of person P will be 60% of

      person Q's age. Currently, person Q is 60% older than person R. Seven years ago, R was 13 years old. Determine the ratio of the combined current ages of P and Q to the current age of R.
      A 4:3 Correct Answer Incorrect Answer
      B 5:3 Correct Answer Incorrect Answer
      C 10:7 Correct Answer Incorrect Answer
      D 3:1 Correct Answer Incorrect Answer
      E 5:2 Correct Answer Incorrect Answer

      Solution

      Present age of 'R' = 13 + 7 = 20 years Present age of 'Q' = 1.6 X 20 = 32 years Age of 'P' three years hence from now = 0.6 X (32 + 3) = 21 years Present age of 'P' = 21 - 3 = 18 years Therefore, required ratio = (18 + 32) :20 = 50:20 = 5:2

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