Question

10. The numerator of a fraction is 5 less than its
denominator. If 3 is added to the numerator
and denominator both, the fraction becomes
4
Find the original fraction.
5​

Answer 1

Given :-

The numerator of a fraction is 5 less than its denominator.

If 3 is added to the numerator and denominator both , the fraction becomes 4/5.

To Find :-

The Original Number

Solution :-

Let denominator of the fraction be = x

And then numerator be x – 5

Original fraction = (x – 5)/x

According to the Question,

⇒  (x – 5 + 3)/(x + 3) = 4/5

⇒ (x – 2)/(x + 3) = 4/5

⇒ 5(x – 2) = 4x + 12

(By cross multiplication)

⇒ 5x – 10 = 4x + 12

⇒ 5x - 4x = 12 + 10

⇒ x = 22

Original fraction = (x – 5)/x

Original fraction  = (22 – 5)/22

Original fraction = 17/22

So, the original number is 17/22.

Hope this helps, please mark me as brainliest :)

Answer 2

Answer:

17/22

Explanation

(x-5)/x be the oringinal fraction

then according to question

(x-5+3)/(x+3) = 4/5

• solve the equation
• put value of in original fraction