Question

The numerator of the rational number is less than its denominator by 3. If the numerator becomes three times and the denominator is increased by 20, the new number becomes $\frac{1}{8}$.Find the original number.

Answer 1

Answer:

Step-by-step explanation:

Let denominator is X.

Numerator is X-3 according to question.

If we multiply Numerator by 3 and add 20 in denominator than it is equal to 1/8 ATQ.

reqd. equation is 3X-9/X+20=1/8

By solving it we get X=4.

Hence given number is X-3/X=1/4

Answer 2

Answer:

1/4

Step-by-step explanation:

let say original number = n/d

n= d-3

new number = 3n/(d+20)

new number = 1/8

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

24n = d + 20

d = n+3

24n = n+3 +20

23n = 23

n = 1

d = 1+3 =4

original number = 1/4