Question

The denominator of a rational number is greater than the numerator by 6.If the numerator is increased by 2 and the denominator is increased by 2 the number becomes 3/5.The original number is

Answer 1

Answer:

13 / 21

Step-by-step explanation:

let numerator be n  

The denominator will be x n + 8  

⇒n + 17 / n + 8 - 1 = 3 / 2  

⇒n + 17 / n + 7 = 3 / 2  

⇒2 (n + 17) = 3 (n + 7)  

⇒2n + 34 = 3n + 21

⇒34 - 21 = 3n - 2n    

⇒13 = n  

⇒ n =13

∴ n / n + 8

= 13 / 13+8

= 13 / 21

numertaor = 13

denominator = 21