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    5. Three numbers are in ratio 4:5:7. If the sum of the squares of those three numbers is 360 then find

    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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