Question

The denominator of a rational number is grater then it's numerator by 8 if the numerator is increased by 17 and the denominator is decreased by 1 the number obtained is3/2 find the rational number

Answer 1

Let,

The Nominator be x 

 the Denominator be x + 8

Fraction:- $\frac{x}{x+8}$

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According to Question,

$\frac{x+ 17}{x + 8 - 1} = \frac{3}{2}$

(x+17) = 3(x + 7)

2x + 34 = 3x + 21

34 - 21 = 3x - 2x 

13 = x 

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Then,

Fraction,

$\frac{x}{x+ 8} = \frac{13}{13 + 8} = \frac{13}{21}$

ihope this will help you

-by ABHAY

Answer 2

Hiii friend,

Let the Numerator of the fraction be X.

Then denominator of the fraction = (X+8)

Fraction = Numerator/Denominator = X/X+8.

Numerator and denominator is decreased by 17 then the numerator and denominator becomes (X+17) and (X+8-1) = (X+7)

Therefore,

Fraction = Numerator/Denominator = (X+17)/(X+7)

According to question,

(X+17)/(X+7) = 3/2

2(X+17) = 3(X+7)

2X+34 = 3X+21

3X-2X = 34-21

X = 13

Numerator = (X) = 13

And,

Denominator = (X+8) = (13+8) = 21

Therefore,

Fraction = Numerator/Denominator = X/X+8 = 13/21

HOPE IT WILL HELP YOU...... :-)