SOLUTION: Please help me with this word problem.... The numerator of a certain fraction is 7 less than its denominator. If 4 is subtracted from the numerator and 1 added to the denominat

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Question 411069: Please help me with this word problem....
The numerator of a certain fraction is 7 less than its denominator. If 4 is subtracted from the numerator and 1 added to the denominator, the resulting fraction equals 1/3. Find the fraction.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

The numerator of a certain fraction is 7 less than its denominator.

Let x and (x-7)represent the denominator and numerator respectively

Question states***

 [(x-7)-4] / (x+1) = 1/3

Solving for x

 +%28x-11%29%2F%28x%2B1%29+=+1%2F3   |cross multiplying to solve for x

       3(x-11) = (x+1)

         2x = 34

          x = 17, the denominator. The numerator is 10.  (17-7)

   Fraction is 10/17



CHECKING our Answer***

   6/18 = 1/3