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18 October, 20:32

The same number is added to both numerator and denominator of the fraction 15/31. If the resulting fraction is 5/6 what is the number?

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  1. 18 October, 20:47
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    the number is 65

    Step-by-step explanation:

    the same number is added. so let the number be 'x'

    the equation can hence be written as:

    15 + x / 31 + x = 5 / 6

    (now cross multiply)

    6 (15 + x) = 5 (31 + x)

    90 + 6x = 155 + 5x

    6x - 5x = 155 - 90

    x = 65
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