The denominator of a fraction is 4 more than twice the numerator. When the numerator is increased by 3 and the denominator is decreased by 3, the fraction becomes , What is the difference between the denominator and numerator of the original fraction?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 11.
Let the fraction be N/D.
D = 2N + 4.......(1)
When the numerator is increased by 3 and the denominator is decreased by 3, the fraction becomes ,
(N + 3)/(D - 3) = 2/3
3N = 2D - 15..........(2)
On solving equation (1) and (2) we get,
N = 7 and D = 18.
D - N = 18 - 7 = 11.