Question

If a numerator is 5 less than denominator of a rational number and when 3 is subtracted from numerator and denominator both and denominator of a rational number is x, then which of the following is an expression for a rational number in x ? * 1 point
(x - 8)/(x - 3)
(x - 3)/(x - 8)
(x + 8)/(x - 3)
(x - 8)/(x + 3)​

Answer 1

Answer:

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