AFCAT Model Paper 8

Given:
The numerator is 7 more than the denominator and when one is subtracted from the denominator, the fraction becomes

3

2

.
Calculation:
Let the denominator be x
So, the numerator = (x + 7)
According to question,

(x+7)

(x–1)

=

3

2

⇒ 2x + 14 = 3x – 3
⇒ x = 17
Now, the initial fraction =

(x+7)

(x)

=

24

17

⇒

24

17

∴ The initial fraction is

24

17