Question

denominator of a rational number is greater than its numerator by 8 if the numerator is increased by 17 denominator is decreased by 1 the number obtained is 3/2. find the rational number​

Answer 1

Answer:

the rational number is $\frac{13}{21}$

Step-by-step explanation:

let numerator be x

therefore,$\frac{x}{x+8}$

According to question,$\frac{x+17}{x+8-1}$  = $\frac{3}{2}$

                                  =2x+34=3x+24-1

                                 =2x-3x=24-3-34

                                 =-x=-13

                                =>x=13

therefore the rational number is 13/13+8=$\frac{13}{21}$