Question

The denominator of a fraction is greater than the numerator by 8. If the numerator is increased by 17 and denominator is decreased by 1, the number obtained is 3/2. Find the fraction.<br /> .​

Answer 1

Let the numerator of the rational number be x.

So as per the given condition, the denominator will be x + 8.

The rational number will be \(\frac{x}{x+8}\)

According to the given condition,

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

$\frac{x+17}{x+7} = \frac{3}{2})$

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

3x + 21 = 2x + 34

3x – 2x + 21 – 34 = 0

x – 13 = 0

x = 13

The rational number will be

$= \frac{x}{x+8})$

$= \frac{13}{13+8})$

Rational number = 13/21

Answer 2

Answer:

$\underline{|purple{\ddot{\Mathsdude}}}$

☆☆Perfect question:-

The denominator of a fraction is greater than the numerator by 8 .If the numerator is increased by 17 and denominator is decreased by 1 the number obtained is 3/2 .Find the rational numbers.

☆☆Answer:-

Let the numerator of the fraction be x ,

As per the given condition 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.

Therefore, x/x+8

=13/21.

☆☆Hope it helps u mate

☆☆Answered by Rohith kumar maths dude