Question

8. 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 rational number
​

Answer 1

Answer:

13

/21

Step-by-step explanation:

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

x

x

+

8

According to the given condition,

x+17x+8−1=32

x+17x+7=32

/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

= xx+8

= 1313+8

Rational number = 13/21