SOLUTION: The denominator of a fraction is four more than twice the numerator. If both numerator and denominator are decreased by six, the simplified result is 7\19. Find the original fracti

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Question 1157817: The denominator of a fraction is four more than twice the numerator. If both numerator and denominator are decreased by six, the simplified result is 7\19. Find the original fraction. (Do NOT simplify.)

Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numerator be x. The fraction is x%2F2x%2B4. The fraction %28x-6%29%2F%282x-2%29 is equal to 7/19. Suppose we let x-6=7 and 2x-2=19. We get x=13 and x=21/2, and both can not be true. Now suppose we let the numerator and denominator equal to 14 and 38 instead. Now we have x=20 and x=20. So the fraction is 20%2F44.