SOLUTION: The numerator of a fraction is 4 less than the denominator. If the numerator is doubled and the denominator diminished by 2, the sum of the original fraction and the new one is 3.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The numerator of a fraction is 4 less than the denominator. If the numerator is doubled and the denominator diminished by 2, the sum of the original fraction and the new one is 3.       Log On


   

Question 1102697: The numerator of a fraction is 4 less than the denominator. 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 josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(x-4)/x
-
...denominatordiminishedby2...
%282x-8%29%2F%28x-2%29%2B%28x-4%29%2Fx=3
x%282x-8%29%2B%28x-2%29%28x-4%29=3x%28x-2%29
2x%5E2-8x%2Bx%5E2-6x%2B8=3x%5E2-6x
3x%5E2-14x%2B8=3x%5E2-6x
-14x%2B8=-6x
-8x%2B8=0
x=1
-
%281-4%29%2F1
highlight_green%28-3%2F1%29