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.​

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

Answer 2

Step-by-step explanation:

according to the question:

N+17/N+8-1=3/2

N+17/N+7=3/2

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

2N+34=3N+21

34-21=3N-2N

N=13

the fraction is 13/21