in a rational number the denominator is 2 more than the numerator. if three added to both numerator and denominator then rational

in a rational number the denominator is 2 more than the numerator. if three added to both numerator and denominator then rational number becomes 5/6. find the rational number​

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Delilah

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  1. Answer:

    answer is 7/9

    Step-by-step explanation:

    let the numerator be x and denominator be x+2 ( since denominator is 2more than numerator)

    on adding 3 to both numerator and denominator, the fraction becomes 5/6.

    so the equation becomes

    x+3/x+2+3=5/6

    x+3/x+5=5/6

    on cross multiplication, we get

    6x+18=5x+25

    6x-5x=7

    x=7

    numerator=7

    denominator=9

    therefore,the fraction becomes 7/9.

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