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7 March, 00:15

The numerator and the denominator of a fraction are thirteen and fifty, respectively. When a certain number is added to this numerator and subtracted from this denominator, the resulting fraction has a numerator to denominator ratio of two to one. What is the number?

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  1. 7 March, 00:28
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    (13 + x) / (50 - x) = (2/1)

    Cross Multiply

    2 (50-x) = 1 (13 + x)

    100 - 2x = 13 + x

    add 2x to both sides

    100 - 2x + 2x = 13 + x + 2x

    100 = 13 + 3x

    Subtract 13 from both sides

    100 - 13 = 13 - 13 + 3x

    87 = 3x

    divide both sides by 3

    29 = x

    (13 + 29) / (50-29) = 42/21 = 2 to 1 ratio
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