If 2 is subtracted from numerator and 1 is added to denominator a fraction becomes 1/2 but when 4 is added to numerator and 3 is subtracted

Question

If 2 is subtracted from numerator and 1 is added to denominator a fraction becomes 1/2 but when 4 is added to numerator and 3 is subtracted from the denominator it becomes 3/2 find the fraction

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Allison 2 weeks 2021-11-25T07:48:04+00:00 1 Answer 0 views 0

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    2021-11-25T07:49:28+00:00

    Answer:

    the fraction is 8/11

    Step-by-step explanation:

    let the franction be x/y

    according to the question

    x-2 = 1

    y+1 2

    2x – 4 = y+1

    y= 2x -4 – 1

    y = 2x – 5

    x+4 = 3

    y-3 2

    2x+ 8 = 3y -9

    2x + 8 = 3( 2x – 5) -9 (substituting the value of y)

    8+9 = 6x – 15 -2x

    17+15 = 4x

    32/4 = x

    x = 8

    y = 2x – 5

    2×8 – 5

    16 – 5

    11

    therefore the fraction is 8

    11

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