Question

The numerator of a rational number is less than the denominator by11. Three times the numerator is 3 more than the denominator. Find the fraction.


pls give full explanation​

Answer 1

Answer:

original rational number is 1/4

Step-by-step explanation:

Correct option is

A

Original rational number is

4

1

Let the numerator of the rational number be x.

Then, the denominator of the rational number =x+3

According to the given condition,

New numerator =3x and new denominator =(x+3)+20=x+23

Given,

x+23

3x

=

8

1

By cross multiplying, we get

8(3x)=x+23

⇒24x=x+23

⇒23x=23 ....[On Transposing]

or x=1

Therefore, numerator of the rational number =1 and denominator =1+3=4.

Hence, the original rational number is

4/1