a fraction become 4/5, if, 1 is added to both the numerator and denominator. if, how ever 5 is subtracted frm both the numerator and denomi

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a fraction become 4/5, if, 1 is added to both the numerator and denominator. if, how ever 5 is subtracted frm both the numerator and denominator, the fraction becomes 1/2 . wat is the fraction​

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Josephine 1 month 2021-08-18T13:48:08+00:00 1 Answer 0 views 0

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    2021-08-18T13:49:37+00:00

    Let X be the numerator and Y be the denominstor

    X/Y is the fraction

    (X+1)/(Y+1)=4/5

    5X+5=4Y+4 or 5X—4Y=—1. (A)

    X–5/Y–5 =12 or 2X—10=Y–5

    2X—Y=5. (B)

    10X—8Y=—2. (1)

    10X—5Y=25. (2)

    Subtract (2) from (1)

    —3Y=—27.

    Y=9. Putting value of Y in (A)

    We get X=7

    So fraction is 7/9

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