Question

The sum of the numerator and denominator of a fraction is 14. If one is added to the numerator and 3 is subtracted from denominator, it becomes 1. The fraction is
a. 3/11
b. 9/5
c. 1/13
d. 5/9

Answer 1

numerator = a

denominator = b

a + b = 14 ie. b = 14 - a

 a + 1   =  1

b - 3

a + 1 = 1(b-3)

a + 1 = 14 - a - 3

2a = 10

a = 5

b = 14 - 5 = 9

answer comes d. 5/9