Question

11. The numerator and denominator of a fraction are in the ratio 3:2. If 3 is added to the numerator
9
and 2 is subtracted from the denominator, fraction is obtained. Find the numerator and
4
denominator of original fraction.​

Answer 1

Answer:

numerator=15 and denominator=10

Step-by-step explanation:

Let the fraction be 3x/2x.

(3x+3)/(2x-2) = 9/4, or

12x+12 = 18x-18, or

18x-12x = 18+12 = 30

6x = 30, or

x = 5.

The fraction is 15/10.