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Math Help - Ratio

  1. #1
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    Ratio

    The sum of two numbers is five times the difference of the numbers. What is the ratio of the largest to the smaller?

    The answer is 3:2, but I don't know what to do in order to get that. Thanks to anyone who can help.
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  2. #2
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    Quote Originally Posted by Averee View Post
    The sum of two numbers is five times the difference of the numbers. What is the ratio of the largest to the smaller?

    The answer is 3:2, but I don't know what to do in order to get that. Thanks to anyone who can help.
    Hi,

    let x be the greater number and
    y the smaller.

    Then you know:

    x + y = 5(x - y)

    x + y = 5x - 5y
    6y = 4x Now divide by y(the samller number) and by 4
    Code:
     6     x
    --- = ---
     4     y
    You can simplify the LHS of the equation and you'll get the given result.

    EB
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  3. #3
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    Thank you, but how did you get 6y to equal 4x?
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Averee View Post
    Thank you, but how did you get 6y to equal 4x?
    we had x + y = 5x - 5y (do you understand how he got to that?)

    so x + y = 5x - 5y, add 5y to both sides we get

    x + y + 5y = 5x, now subtract x from both sides, we get

    y + 5y = 5x - x, now combine the x's and y's

    6y = 4x
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  5. #5
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    Ah, thank you. I guess I kept subtracting x and y and getting 4x - 6y = 0. Thanks.
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Averee View Post
    Ah, thank you. I guess I kept subtracting x and y and getting 4x - 6y = 0. Thanks.
    but that's the same thing as well

    4x - 6y = 0, add 6y to both sides, we get

    4x = 6y
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  7. #7
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    I see. I guess I just keep confusing myself, lol. Thanks again.
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