Question

The denominator of a fraction is greater than the numerator by 8. If the numerator is increased by 17 and denominator is decreased by 1, the number obtained is 3/2. Find the fraction. (4)

Answer 1

Answer:

Let the fraction be p/q. It is given

q=p+8. Then the fraction becomes

p/(p+8). It is given

(p+17)/(p+8-1)=3/2

(p+17)×2=(p+7)×3

2p+34=3p+21

p=14

q=14+8=22

Fraction= p/q=14/22