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The denominator of a fraction is 3 more than twice the numerator. If both the numerator and denominator are decreased by 7 and the simplified result is 7/19 find the original fraction

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2 answers

  1. original:

    numerator: x
    denominator: 2x+3
    so the original fraction is
    x/(2x+3)

    new fraction:
    (x-7)/(2x+3-7) = 7/19
    19x - 133 = 14x - 28
    5x = 105
    x = 21

    So you had 21/45

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  2. The denominator of a fraction is 3 more than twice the numerator.If both the numerator and the denominator of the fraction are increased by 5,the resulting fraction is 2/7.Find the fraction.

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