Question

In a fraction numerator is 5 more than the denominator
if 2 is subtracted from the numerator, then the
fraction is equal to 4/3 then find the fraction​

Answer 1

Let the denominator be x.

Given:

$Denominator = x$

$Numerator = 5 + x$

$Fraction = \frac{5 + x}{x }$

If 2 is subtracted from the numerator:

$Numerator = 5+x-2 = 3+x$

$Fraction = \frac{3 + x}{x}$

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

Cross multiplying:

$3(3 + x) = x(4) \\ 9 + 3x = 4x \\ 9 = 4x - 3x \\ x = 9$

Hope it helps!

Answer 2

Step-by-step explanation:

Let,

The numerator of the fraction = x

The denominator of the fraction = x + 5

★ If 2 is subtracted from both the numerator and the denominator

The numerator of the fraction = x - 2

The denominator of the fraction = x + 5 - 2

⇒ x + 5 - 2

⇒ x + 3

.°. The denominator of the fraction = x + 3

x+3

x−2

=

5

4

⇒ 5 (x - 2) = 4 (x + 3)

⇒ 5x - 10 = 4x + 12

⇒ 5x - 4x = 12 + 10

⇒ 1x = 22

⇒ x = 22

The numerator of the fraction = 22

The denominator of the fraction = x + 5

⇒ 22 + 5

⇒ 27

The denominator of the fraction = 27

Therefore,the fraction is 22/27

verification

= 27-22 =5

= 22-2/27 -2 = 20/25 = 4/5

hope it helps you ....

NOTE :

( the fraction in the question was incorrect it is not 4/3 , it is 4/5 )

please mark me as brainleast !