Question

9. 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 -. Find the number.
2
10​

Answer 1

Answer:

13/21  look below ALSO PLEASE MARK ME BRAINIST!

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 + 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

=x=13

Numerator of the rational number = x = 13

Denominator of the rational number = x + 8 = 13 + 8 = 21

Rational number = 13/21

Answer 2

Step-by-step explanation:

Let the numerator be x

Then denominator will be (8+x)

A.T.Q.

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

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

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

$2x + 34 = 3x + 21$

$34 - 21 = 3 x - 2x$

$x = 13$