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    Question

    The ratio of the age of R after 3 years to the age of S

    after 6 years is 3:2. The total age of S and T after 10 years is 84 years. T’s age 6 years ago was half of what it will be after 14 years. Find the current age of R.
    A 75 yrs Correct Answer Incorrect Answer
    B 55 yrs Correct Answer Incorrect Answer
    C 63 yrs Correct Answer Incorrect Answer
    D 47 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    T – 6 = 1/2 * (T + 14)

    2T – 12 = T + 14

    T = 26

    Present age of T = 26 years

    S + 10 + T + 10 = 84

    S + 10 + 26 + 10 = 84

    S = 84 – 46 = 38 years

    R + 3 = 3/2 * (38 + 6)

    R + 3 = 3/2 * 44

    R = 66 – 3 = 63 years

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