The numerator of a rational number is less than its denominator by 5. If the numerator is increased by 9 and the denominator is doubled, the new fraction is 5/8. What is the original fraction?
A
7/12
B
9/14
C
8/3
D
11/16
Correct Option:
D
Explanation
Let the numerator be x and the denominator be x + 5. Then (x + 9)/[2(x + 5)] = 5/8. Cross-multiplying gives 8x + 72 = 10x + 50, so 2x = 22 and x = 11. The denominator is 16, so the original fraction is 11/16.
