Question

16.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 3/2. Find the rational number.

Answer 1

Answer:

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

​

.

Step-by-step explanation:

Answer 2

Supp.ose 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