Question

The numerator of a rational number is less than its denominator by 3.If the numerator becomes three times and the denominator is increased by 20 th new number becomes 1/8. Find the original number.​

Answer 1

Answer:

The numerator of a rational number is less than its denominator by 3.if the numerator became 3 times and the denominator is increased by 20,the faction became 1\8,find the original faction

.

Let d = denominator

then

d-3 = numerator

.

3(d-3)/(d+20) = 1/8

(3d-9)/(d+20) = 1/8

cross multiplying:

8(3d-9) = (d+20)

24d-72 = d+20

23d-72 = 20

23d = 92

d = 4 (denominator)

.

numerator:

d-3 = 4-3 = 1

.

answer: 1/4

Answer 2

Answer:

 

.Let d = denominator

then

d-3 = numerator

3(d-3)/(d+20) = 1/8

(3d-9)/(d+20) = 1/8

cross multiplication :

8(3d-9) = (d+20)

24d-72 = d+20

23d-72 = 20

23d = 92

d = 4 (denom)

numerator:d-3 = 4-3 = 1

Answer: 1/4