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?
- A. 2
- B. 3
- C. 4 ✓
- D. 5
Correct Answer: C. 4
Explanation
Let the fraction be \frac{x}{y}. We have x + y = 10 and \frac{x+3}{y-1} = 1 \implies x + 3 = y - 1 \implies y - x = 4. The absolute difference between the numerator and denominator is 4.
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