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    Question

    If x + y + z = 20, x┬▓ + Y┬▓ + z┬▓ = 160 and x z = y┬▓,

    then find the value of x z?
    A 25 Correct Answer Incorrect Answer
    B 36 Correct Answer Incorrect Answer
    C 49 Correct Answer Incorrect Answer
    D 16 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    Given, x + y + z = 20, x┬▓ + Y┬▓ + z┬▓ = 160 and x z = y┬▓ We know, (x + y + z) ┬▓ = (x┬▓ + Y┬▓+ z┬▓) + 2 x (x y + y z + x z) or (20) ┬▓ = 160 +2 x (x y + y z + x z) or (x y + + z x) = (400 - 160) =240/2 Or (x y + y z + z x) = 120 Or (x y + y z + y┬▓) = 120 Or y (x + y + z) = 120 Or y x 20 = 120 or y = (120/20) = 6 Therefore, x z = 6┬▓ = 36

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