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    Question

    10 years from now, the combined ages of P and Q will be 84

    years. 6 years ago, the ratio of their total age to R’s age was 5:3. What is the present age of R?
    A 37.2 yrs Correct Answer Incorrect Answer
    B 48.5 yrs Correct Answer Incorrect Answer
    C 25.5 yrs Correct Answer Incorrect Answer
    D 42.2 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let present ages of P, Q, and R be ‘x’, ‘y’, and ‘z’ years respectively.

    So, x + 10 + y + 10 = 84

    => x + y = 64

    Sum of ages of P and Q 6 years ago = 64 – 6 × 2 = 52 years

    Age of R 6 years ago = 52 / 5 × 3 = 31.2 years

    Present age of R = 31.2 + 6 = 37.2 years

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