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    Question

    Three numbers are in ratio 5:6:7. If the sum of the

    squares of those three numbers is 440 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 = 5x : 6x : 7x A2 + B2 + C2 = 25x2 + 36x2 + 49x2 = 110x2 => 110x2 = 440 => x = 2 => A + B + C = 5x + 6x + 7x = 18x = 18 × 2 = 36

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