## The numerator of a rational number is 3 less than the denominator. If the numerator is increased by 8 and the denominator increased by

Question

The numerator of a rational number is 3 less than the denominator. If the
numerator is increased by 8 and the denominator increased by 14, we get the
same number. Find the number.

in progress 0
3 weeks 2021-09-04T17:00:21+00:00 1 Answer 0 views 0

### Given:-

• The numerator of a rational number is 3 less than the denominator
• If the  numerator is increased by 8 and the denominator increased by 14, we get the  same number

• The number

### Solution:-

Let the numerator be ‘x’ and denominator be ‘y’

So, the number is x/y

So, ATQ

Also,

x + 3 = y ————-> (2)

putting value of y in equation one

Putting the value of x in eq 2

So, the number is x/y = 4/7