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Math Help - word problem w/ ratio

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    Question word problem w/ ratio

    hey i'm not sure how to go about solving this question. any help is appreciated. Thanks!

    There are three numbers in the ratio of 2:3:4. The sum of their squares is 464. find the numbers.
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  2. #2
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    Quote Originally Posted by extraordinarymachine View Post
    hey i'm not sure how to go about solving this question. any help is appreciated. Thanks!

    There are three numbers in the ratio of 2:3:4. The sum of their squares is 464. find the numbers.
    Hi extraordinarymachine,

    Set it up this way: The numbers will be represented as 2x, 3x, and 4x.

    The sum of their squares will be represented:


    (2x)^2+(3x)^2+(4x)^2=464

    Solve for x (there will be two of them...one + and one -).

    Then determine your three numbers by multiplying by 2, 3, and 4, respectively.
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