A fraction becomes 4 when 1 is added to both the numerator and denominator and it becomes 7 when 1 is subtracted from both the numerator and the denominator. The numerator of the fraction is------

A 2

B 3

C 7

D 9

Correct Answer: Option E

suppose the fraction is x/y

if, x+1/y+1 = 4 or,y=(x-3)/4 again, x-1/y-1=7 or, y=(x+6)/7 or, (x-3)/4=(x+6)/7 or, x=15