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    Question

    Three numbers are in ratio 4:5:7. If the sum of the

    squares of those three numbers is 360 then find the sum of the three numbers.
    A 24 Correct Answer Incorrect Answer
    B 32 Correct Answer Incorrect Answer
    C 48 Correct Answer Incorrect Answer
    D 64 Correct Answer Incorrect Answer
    E 40 Correct Answer Incorrect Answer

    Solution

    A: B: C = 4x: 5x: 7x A2 + B2 + C2 = 16x2 + 25x2 + 49x2 = 90x2 => 90x2 = 360 => x = 2 => A + B + C = 4x + 5x + 7x = 16x = 16 × 2 = 32

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