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    Question

    Age of ‘A’ after 16 years will be three time of his

    age 12 years ago. Eight years hence from now, ratio of ages of ‘A’ and ‘B’ will be 2:3, respectively. If present average age of ‘A’, ‘B’ and ‘C’ is 25 years, then find the present age of ‘C’.
    A 15 years Correct Answer Incorrect Answer
    B 10 years Correct Answer Incorrect Answer
    C 6 years Correct Answer Incorrect Answer
    D 17 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let A’s present age = a After 16 years: a + 16 12 years ago: a − 12 Equation 1: a + 16 = 3(a − 12) → a = 26 Let B’s present age = b After 8 years: A = 34, B = b + 8 Equation 2: 34 / (b + 8) = 2 / 3 → 102 = 2b + 16 → b = 43 Average age of A, B, C = 25 Equation 3: (26 + 43 + c) / 3 = 25 → 69 + c = 75 → c = 6 Present ages: A = 26 years B = 43 years C = 6 years

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