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    Question

    Three numbers are in ratio 3:4:7. If the sum of the

    squares of those three numbers is 666 then find the sum of the three numbers.
    A 42 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 40 Correct Answer Incorrect Answer
    D 36 Correct Answer Incorrect Answer

    Solution

    A : B : C = 3x : 4x : 7x A2 + B2 + C2 = 9x2 + 16x2 + 49x2 = 74x2 => 74x2 = 666 => x = 3 => A + B + C = 3x + 4x + 7x = 14x = 14 × 3 = 42

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