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,the number so obtained is 3/2. Find the rational number .

Answer 1

Hello here is your answer by Sujeet yaduvanshi ☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝
Let the numerator be x
denominator= x+8
Acc. to question
 Numerator is increased by 17= numerator= x+17
 Denominator is decreased by 1= denominator = x+8-1=x+7
x+17/x+7=3/2 
by cross multiplication : 2(x+17)= 3(x+7)
                                    = 2x+34=3x+21
                                    = 3x-2x=34-21
                                    = x=13
   numerator = x=13
   denominator = x+8= 13+8=21
  hence ,the rational number is 13/21 

Answer 2

here is your answer. hope it will help you