Question

The numerator of rational number is less than the denominator by 8.if dinomenator is decreased by 1 and numerator is increased by 17 then the number obtained is 3/2.find the rational number

Answer 1

Answer:

Step-by-step explanation:

let the denominator be x

then numerator = x-8

according to question,

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

x+9/x-1 = 3/2

2(x+9) = 3(x-1)

2x+18 = 3x-3

2x-3x = -3-18

-x = -21

x = 21

numerator = 21-8

= 13

denominator = 21

= 13/21