Question

the denominator of a rational number is greater than numinator by 8. numinator is increased by 17 and denominator is increased by 1. the nmber obtained is 3/2 find the rational number

Answer 1

$\huge \underbrace \mathfrak \blue{Answer}$

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 23.

Answer 2

Let the numerator be x then denominator will be (x + 8).

According to the question,(x+8−1)(x+17) = 23

⇒ (x+7)(x+17) = 23

⇒ 2(x + 17) = 3(x + 7)⇒ 2x + 34 = 3x + 21

⇒ 34 - 21 = 3x - 2x⇒ 13 = xThe rational number is \frac{x}{x+8}=\frac{13}{21} x x+8 = 21 13

I hope it wilp helpful for u