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    Question

    The average age of A and B is 15 years. If A is to be

    replaced by C, the average would be 14 years. The average age of C and A is 16 years. Find the age of A.
    A 21 yr Correct Answer Incorrect Answer
    B 23 yr Correct Answer Incorrect Answer
    C 17 yr Correct Answer Incorrect Answer
    D 25 yr Correct Answer Incorrect Answer

    Solution

    A + B = 2 ├Ч 15 = 30 yr B + C = 2 ├Ч 14 = 28 yr C + A = 2 ├Ч 16 = 32 yr On adding all three, 2 (A + B + C) = 30 + 28 + 32 = 90 тЗТ ┬аA + B + C = 45 тИ┤ ┬аA = (A + B + C) тАУ (B + C) = 45 тАУ 28 = 17 yr

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