Question

7. 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
3
obtained is
2
Find the rational number.​

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

Step-by-step explanation:

Ye hai mera bio. Kaisa lga?