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    Question

    The average age of A and B is 14 years. If A is to be

    replaced by C, the average would be 13 years. The average age of C and A is 15 years. Find the age of A.
    A 21 yr Correct Answer Incorrect Answer
    B 23 yr Correct Answer Incorrect Answer
    C 16 yr Correct Answer Incorrect Answer
    D 25 yr Correct Answer Incorrect Answer
    E 18 yr Correct Answer Incorrect Answer

    Solution

    A + B = 2 × 14 = 28 yr B + C = 2 × 13 = 26 yr C + A = 2 × 15 = 30 yr On adding all three, 2 (A + B + C) = 28 + 26 + 30 = 84 ⇒ A + B + C = 42 ∴ A = (A + B + C) – (B + C) = 42 – 26 = 16 yr

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