Mathematics

The value of a certain fraction becomes 1/5 if one is added to its numerator. If one is taken from its denominator, its value becomes 1/7. Find the fraction by setting up a pair of simultaneous equations and solving them

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  1. (n+1)/d = 1/5
    n/(d-1) = 1/7

    5(n+1) = d
    7n = d-1

    5n - d = -5
    7n - d = -1

    2n = 4
    n=2
    d=15

    Check:
    n/d = 2/15

    3/15 = 1/5
    2/14 = 1/7

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    posted by Steve

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