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    Question

    The present average age of X, Y, and Z is 44 years. 8

    years ago the average age of X and Y was 38 years. What is the present age of Z?
    A 39 years Correct Answer Incorrect Answer
    B 38 years Correct Answer Incorrect Answer
    C 41 years Correct Answer Incorrect Answer
    D 40 years Correct Answer Incorrect Answer

    Solution

    Let X, Y, and Z be P, Q, and R years old respectively. (presently) According to the question, (P + Q + R) ÷ 3 = 44 ⇒ (P + Q + R) = 132      .... (1) {(P - 8) + (Q - 8)} ÷ 2 = 38 ⇒ P + Q - 16 = 76 ⇒ P + Q = 76 + 16 ⇒ P + Q = 92      .... (2) Putting the value from (2) to (1), The present age of Z is 40 years.

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