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11 January, 01:52

The sum of the numerator and denominator of a fraction expressed in simplest form is 17. If 3 is added to the numerator, the value of the fraction will be 1. What is the fraction?

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Answers (2)
  1. 11 January, 02:22
    0
    X+y=17 solve for a variable and plug into the 2nd equation

    (x+3) / y=1 also could be written as x+3=y

    x=17-y

    17-y+3=y combine and add y over to other side

    20=2y

    y=10

    plug back in x+10=17

    x=7

    so the original fraction is 7/10
  2. 11 January, 05:51
    0
    X is represented as the numerator, y is the denominator.

    x+y=17

    x+3/y = 1

    If x+3/y is 1, x+3 must equal y. Use the first equation to solve for y.

    y=17-x

    Plug in the first equation.

    x+3 = y

    x+3 = 17-x

    x+3+x=17-x+x (Add x)

    2x+3=17

    2x+3-3=17-3 (subtract 3)

    2x=14

    x=7.

    Plug in x into original equation (x+y=17)

    7+y=17

    y=10

    The fraction is 7/10.
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