Algebra

the denominator of a fraction exceeds the numerator by 7, if the numerator is increased by 3, and the denominator is increased by 5, the resulting fraction equals 1/2. Find the original fraction.

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  1. so?

    original fraction is x/(x+7)

    when changed,

    (x+3)/(x+7+5) = 1/2
    2(x+3) = x+12
    2x+6 = x+12
    x = 6

    original fraction is 6/13
    new fraction is 9/18 = 1/2

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