Question

the denominator of 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 3/2 find rational number

Answer 1

let numerator be x                                                                                                                                                  then denominator will be x+8

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

x+17/x+7=3/2

2{x+17}=3{x+7}

2x+34=3x+21

34-21=3x-2x

13=x

x/x+8=13/21
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Answer 2

Heya.....
Here's your answer.....

Let numerator = x
Denominator = x + 8

New numerator = x + 17
New denominator = x + 8 - 1 = x + 7

x + 17 / x + 7 = 3 / 2
2 ( x + 17 ) = 3 ( x + 7 )
2x + 34 = 3x + 21
2x - 3x = 21 - 34
-1x = -13
x = 13/1
x = 13

Numerator = x = 13
Denominator = x + 8 = 13 + 8 = 21
13 / 21 is your answer....


Hope it will help u.......