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    Question

    If x + y + z = 30, x┬▓ + Y┬▓ + z┬▓ = 460 and x z = y┬▓,

    then find the value of x z?
    A 16 Correct Answer Incorrect Answer
    B 25 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 18 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 y + y z + x z) or (30) ┬▓ = 460 +2 (x y + y z + x z) or (x y +y z + z x) = (900 - 460) =440/2 Or (x y + y z + z x) = 120 Or (x y + y z + y┬▓) = 120 Or y (x + y + z) = 120 Or y x 30 = 120 or y = (120/30) = 4 Therefore, x z = 4┬▓ = 16

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