SOLUTION: The denominator of a fraction is five more than the numerator. When 4 is subtracted from the numerator and 3 is added to the denominator, the resulting fraction is equal to 1/5. F

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Question 375993: The denominator of a fraction is five more than the numerator. When 4 is subtracted from the numerator and 3 is added to the denominator, the resulting fraction is equal to 1/5. Find the original fraction.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let n/d be the fraction. Then by the given, d = n + 5, and %28n+-+4%29%2F%28d+%2B+3%29+=+1%2F5. By direct substitution, %28n+-+4%29%2F%28n%2B5+%2B+3%29+=+1%2F5, or
%28n-4%29%2F%28n+%2B+8%29+=+1%2F5.
5(n - 4) = n + 8, or
5n - 20 = n + 8, or
4n = 28, or
n = 7, and d = 12. The original fraction is 7/12.