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8 October, 05:22

The difference of two numbers is 30. their quotient is 6. what are the two numbers

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  1. 8 October, 05:47
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    Well, the quotient must be bigger/smaller

    lets say the numbers are x and y

    x>y

    so

    x-y=30 and x/y=6

    multiply both sides by y in 2nd equation

    x=6y

    subsitute 6y for x in other equation

    6y-y=30

    5y=30

    divide by 5

    y=6

    sub back

    x=6y

    x=6 (6)

    x=36

    the numbers are 36 and 6

    but they could also be - 36 and - 6 because - 36/-6=6 and - 6 - (-36) = 30

    the 2 numbers are 36 and 6 or - 36 and - 6
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