The numerator of a fraction is 3 less than its denominator. If 2 is added to both, the new fraction equals 4/5. What is the original fraction?

Correct answer: A. 10/13

Let the denominator be d and the numerator d − 3. Then (d − 1)/(d + 2) = 4/5, so 5d − 5 = 4d + 8 and d = 13. The fraction is 10/13. Check: 12/15 = 4/5.

hard

Answer and explanation

The correct answer is A. 10/13

Let the denominator be d and the numerator d − 3. Then (d − 1)/(d + 2) = 4/5, so 5d − 5 = 4d + 8 and d = 13. The fraction is 10/13. Check: 12/15 = 4/5.

Topic: Age and Number Problems MCQs · Subject: Numerical Ability