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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