Question

The numerator of a rational number is less than its denominator by 7 . If the new number becomes 3 2 when the numerator is tripled and the denominator is increased by 16 , find the original number.

Answer 1

Question:-

The numerator of a rational number is less than its denominator by 7. If new number becomes 3/2 when the numerator is tripled and the denominator is increased by 16 find the original number

Method Used:-

First we should cross multiply the number with the numerator and denominator to get the numerator and denominator

Solution:-

Let the numerator and denominator be x and x

=> 3[x-7]/x+16=3/2

=> 3x-21/x+16=3/2

=> 2[3x-21] =3[x+16]

=> 6x-42=3x+48

=> 6x-3x=48+42

=> 3x=90

=>x=90/3

=>x=30

Conclusion:-

The numerator and denominator are

69 and 48