Question

9. The denominator of a rational number is 4 more than the numerator. If 5 is added to the numerator
and 2 is subtracted from the denominator, the number becomes8/5
-. Find the original number.​

Answer 1

Answer:

$\frac{3}{7}$

Step-by-step explanation:

Let the numerator be x

So, the denominator = ( x+4)

Acc. To Ques. ----

When 5 is added to numerator,

numerator = ( x+5 )

&

When 2 is subtracted from denominator,

denominator = (x + 4 -2)

Therefore,

$\frac{numerator}{denominator} = \frac{8}{5} \\ \\ = > \frac{x + 5}{x + 2} = \frac{8}{5} \\ \\ = > 8(x + 2) = 5( x + 5) \\ \\ = > 8x + 16 = 5x + 25 \\ \\ = > 8x - 5x = 25 - 16 \\ \\ = > 3x = 9 \\ \\ = > x = \frac{9}{3} \\ \\ = > x = 3$

Therefore,

The original rational no. is

$= \frac{x}{x + 4} \\ \\ \\ = \frac{3}{3 + 4 } \\ \\ = \frac{3}{7}$

Mark as BRAINLIEST

Answer 2

Step-by-step explanation:

here is your answer maek it a brainlist