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    Question

    Three numbers are in the ratio 3:5:6. If the sum of

    their squares is 630, then the numbers are:
    A 7,13,16 Correct Answer Incorrect Answer
    B 9,15,18 Correct Answer Incorrect Answer
    C 5,10,14 Correct Answer Incorrect Answer
    D 6,11,15 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the numbers be 3x, 5x and 6x respectively. ⇒ (3x)2+ (5x)2+ (6x)2= 630 ⇒ 9x2+ 25x2+ 36x2= 630 ⇒ 70x2= 630 ⇒ x2= 9 ⇒ x = 3 ∴ Numbers are 9, 15 and 18.

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