Question

6. The denominator of the 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:

given :-numerator=(x-8)+17 denominator =x+8

therefore,x+9/x+8=3/2

2(x+9)=3(x+8)

2x+18=3x+24

2x=3x+24-18

2x=3x+6

3x-2x=6

x=6

therefore,6+9/6+8

15/14

Answer 2

Answer:

21/13

Step-by-step explanation:

Answer

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

​  

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