Question

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

Answer 1

Step-by-step explanation:

let numerator be x then denominator be 8+x then rational no.=x/8+x. according to question x+17/8+x-1=3/2 i.e x+17/7+x=3/2 i.e 2x+34=21+3x i.e x=13. So rational no.=30/20

Answer 2

Answer:

The rational number is 8/11.

Step-by-step explanation:

Step 1:

Given Data:

To Find the Rational Number:

Let rational number in the form of x/y  

Step 2:

According to the question,  

y = x +3 ----------------------- (1)

Step 3:

Again,  

(x +14)/(y -3) = 11/4  

4x +56 = 11y -33

Step 4:

Substitute from Equation (1)

4x + 56 = 11(x +3) -33 from equation (1)  

4x +56 = 11x +33 -33  

Step 5:

7x = 56  

x =8  

Step 6:

so, y = x +3 = 11  

Hence rational number = 8/11