2021 · Q35
The sum of numerator and denominator of a fraction is 10. If the numerator is increased by 3 and denominator is decreased by 1, the fraction becomes 1. What is the difference between numerator and denominator of the fraction ?
Elementary MathematicsAlgebra
- A2
- B3
- C4
- D5
Explanation
Let the fraction be n/d with n + d = 10. The condition (n+3)/(d−1) = 1 gives n + 3 = d − 1, i.e. d − n = 4. The difference between denominator and numerator is 4, option (c).