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) (Show Source): You can put this solution on YOUR website!
Let n/d be the fraction. Then by the given, d = n + 5, and . By direct substitution, , or
.
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.
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