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 obtained is 3/2. find the fraction​

Answer 1

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

Answer 2

Answer:

Fraction = 13/21

Step-by-step explanation:

Let the fraction be x/y

y=x+8 - condition 1

x+17/y-1=3/2

By Substituting condition 1,

x+17/x+7=3/2

By cross multiplication,

2x+34=3x+21

Therefore, x=13

y=13+8=21

Therefore, fraction=13/21

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