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    Question

    Three numbers are in ratio 6:7:9. If the sum of the

    squares of those three numbers is 664 then find the sum of the three numbers.
    A 42 Correct Answer Incorrect Answer
    B 48 Correct Answer Incorrect Answer
    C 44 Correct Answer Incorrect Answer
    D 46 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    A : B : C = 6x : 7x : 9x A2 + B2 + C2 = 36x2 + 49x2 + 81x2 = 166x2 => 166x2 = 664 => x = 2 => A + B + C = 6x + 7x + 9x = 22x = 22 × 2 = 44

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