Question

The denominator of a rational number is greater than its numerator by 10. If the numerator is increased by 1 and the denominator is decreased by 1 then expression for new denominator is _________​

Answer 1

Step-by-step explanation:

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  )

Answer 2

Answer:

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 )