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the denominator of a rational number is greater than the numerator by 6. if the numerator is decreased by 2 and the denominator is increased by 4 . the rational is 1/5 .Find the rational number.

  • maths -

    numerator -- x
    denominator --- x+6

    numerator decreased by 2 --- x-2
    denominator increased by 4 --- x+10

    (x-2)/(x+10) = 1/5
    cross-multiply
    5x - 10 = x+10
    4x = 20
    x=5

    original fraction was 5/11

    check:
    new fraction:
    (5-2)/(11+4)
    = 3/15
    = 1/5

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