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denominator of a fraction is 1 more than its numerator. the fraction reduces to one fourth when numerator is reduced by 2 and denominator is increased by 3. find the number

  • Maths - ,

    Oriningal fraction ---- x/(x+1)

    new result:

    (x-2)/(x+4) = 1/4
    cross-multiply
    4x - 8 = x+4
    3x = 12
    x = 4

    original fraction ----- 4/5

    check:
    new fraction :
    (4-2)/(5+3) = 2/8
    which is 1/4

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