numerator of a fraction is 2 less than the denominator if 1 is added to the numerator and 3 to the denominator then the fraction becomes 2/3

Question

numerator of a fraction is 2 less than the denominator if 1 is added to the numerator and 3 to the denominator then the fraction becomes 2/3 find the original fraction
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Ruby 3 weeks 2021-10-07T13:24:49+00:00 1 Answer 0 views 0

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    2021-10-07T13:26:17+00:00

    Answer:

    7/9

    Step-by-step explanation:

    Let the denominator be x

    According to the question

    numerator will be x-2

    If 1 is added in numerator, it becomes x-2+1=x-1

    If 3 is added to denominator, it becomes x+3

    According to the question,

    x-1/x+3=2/3

    3(x-1)=2(x+3)…..{by cross multiplication}

    3x-3=2x+6

    3x-2x=6+3

    x=9

    in original fraction,

    x is the denominator

    hence, denominator,x =9

    numerator =x-2=

    9-2=7

    ORIGINAL FRACTION:7/9

    *PLZZ DO MARK ME AS BRAINLIEST*

    IF ANY DOUBT CAN BE SHARED IN COMMENT SECTION

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