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Math Help - Sum and Quotient

  1. #1
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    Sum and Quotient

    How do I find two numbers whose sum is 102 and quotient is 16?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by mike1 View Post
    How do I find two numbers whose sum is 102 and quotient is 16?
    let the two numbers be x and y. we want:

    x + y = 102 and x/y = 16, so we get the simultaneous equations:

    x + y = 102 ..................(1)
    x/y = 16 ......................(2)

    we will proceed by the substitution method:

    from (2) we see x = 16y. substitute 16y for x in (1), we get:

    16y + y = 102
    => 17y = 102
    => y = 102/17
    => y = 6

    but x = 16y
    => x = 16(6)
    => x = 96

    so the two numbers are 96 and 6
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