Question

The denominator of a rational no. Is greater than its numerator by 8
Tf the numerator is increased by 17 and the denominator is decreased
by 1, the rumber obtained is3/2 find the rational numberليا​

Answer 1

Let numerator be x  

∴the 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     (Ans  )  

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Answer 2

Answer:

Let numerator = x

So denominator = x + 8

So the rational number = x / (x+8)

Now by the given condition

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

➙ (x+17)/(x+7) =3/2

➙ 3x +21 = 2x + 34

➙ 3x - 2x = 34-21

➙ x = 13

So the required rational number is

= 13/(13+8) = 13/21