SOLUTION: can someone help me with this one.. the numerator of a fraction is 4 less than the denomintor. If the numerator is doubled and the denominator diminished by 2, the sum of the or

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: can someone help me with this one.. the numerator of a fraction is 4 less than the denomintor. If the numerator is doubled and the denominator diminished by 2, the sum of the or      Log On


   

Question 511474: can someone help me with this one..
the numerator of a fraction is 4 less than the denomintor. If the numerator is doubled and the denominator diminished by 2, the sum of the original fraction and the new one is 3. Find the original fraction.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Numerator is 4 less than denominator
.
+%28x-4%29%2Fx+
.
+%282%28x-4%29%29%2F%28x-2%29+%2B+%28x-4%29%2Fx+=+3
.
+%28+2%28x-4%29%2Ax+%2B+%28x-2%29%28x-4%29+%29+%2F++%28+%28x-2%29%2Ax+%29+=+3
.
+%28+2%28x-4%29%2Ax+%2B+%28x-2%29%28x-4%29+%29+=+3%2A%28x-2%29%2Ax+
.
+2x%5E2+-8x+%2B+x%5E2+-6x+%2B+8+=+3x%5E2+-6x
,
+2x%5E2+-8x+%2B+x%5E2+-6x+%2B+8+-3x%5E2+%2B6x+=+0
.
+-8x+%2B8+=+0
.
+-8x+=+-8
.
x+=+1
.
Done.