Engineering Board Exam Reviewer · Number & Digit Problems · medium

The denominator of a certain fraction is three more than twice the numerator. If 7 is added to both terms of the fraction, the resulting fraction is 3/5. Find the original fraction.

  1. 8/5
  2. 13/5
  3. 5/13
  4. 3/5

Answer

C. 5/13

Solution

Let numerator=n, denominator=2n+3. n+7/2n+10=3/5 gives n=5, so the denominator is 13. The original fraction is 5/13.

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