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,then the number obtained is 3/2. find the rational num ber​

Answer 1

Answer:

13/21

Step-by-step explanation:

so a/b is the fraction,

b-8=a

b=a+8

a+17/b-1=3/2

a+17/a+8-1=3/2

a+17/a+7=3/2

2a+34=3a+21

34-21=3a-2a

13=a

a+8=b

13+8=b

21=b

fraction =  13/21

Answer 2

Step-by-step explanation:

Let the numerator be x

The denominator will be x+8

A/Q

(x+17)/(x+8-1)=3/2

2(x+17)=3(x+8-1)

2x+34=3x+24-3

2x-3x=24-3-34

-x= -13

x=13

the numerator=x=13

the denominator=(x+8)=(13+8)=21

the rational number is 13/21

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