Question

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

Answer 1

Answer:

13/21 is the answer

Step-by-step explanation:

Correct option is

A

21

13

​

 

Suppose numerator of the rational number is p, then denominator is p+8.

Rational number is  

p+8

p

​

.

Numerator is increased by 17, then it becomes p+17.

Denominator is decreased by 1, then it becomes p+8−1=p+7

New rational number is  

p+7

p+17

​

=  

2

3

​

 

⇒2p+34=3p+21

⇒p=13

Thus numerator is 13.

Denominator is p+8=13+8=21

Therefore, the rational number is  

21

13

​

.

Answer 2

⭐Answer ⭐

Let the numerator of the rational number be x.

So as per the given condition, the denominator will be x + 8.

The rational number will be xx+8

According to the given condition,

x+17x+8−1=32

x+17x+7=32

3(x + 7) = 2(x + 17)

3x + 21 = 2x + 34

3x – 2x + 21 – 34 = 0

x – 13 = 0

x = 13

The rational number will be

= xx+8

= 1313+8

Rational number = 13/21