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14 March, 03:23

Two positive numbers differ by 11. When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4. what are the numbers

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  1. 14 March, 05:00
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    X = larger number

    y = smaller number

    Equations:

    x - y = 11

    x/y = 2 + 4/y

    Get rid of fractions in second equation by multiplying by y.

    y (x/y = 2 + 4/y)

    x = 2y + 4 > plug this into the first equation.

    Solve for y and then x.
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