Question

The denominator of a fraction is 4 more than

the numerator. If 1 is added to the numerator

and 2 is added to the denominator the new

fraction is 4/5. Find the original fraction.​

Answer 1

Step-by-step explanation:

Let the numerator be x.

Then,denominator=x+4

Acc. to ques.

x+1/x+4+2=4/5

x+1/x+6=4/5

4 (x+6)=5 (x+1) (by cross mutiplication )

4x+24=5x+5

24-5=5x-4x (collecting like terms )

19=x

Numerator =19

Denominator =23

So,the original fraction is 19/23

Answer 2

Answer:

Let the numerator be x

$= > \frac{x}{x + 4}$

• If one is added to numerator

$= > \frac{ x + 1}{x + 4}$

• If 2 is added to denominator

$= > \frac{ x + 1}{ x + 4 + 2}$

$= > \frac{ x + 1}{x + 4 + 2} = \frac{4}{5}$

$= > \frac{ x + 1}{x + 6} = \frac{4}{5}$

• Now cross multiplication

$= > 4(x + 6) = 5( x + 1)$

$= > 4x + 24 = 5x + 5$

$= > 4x - 5x = 5 - 24$

$= > - x = -19$

$= > x = 19$

Numerator => x = 19

Denominator => x + 4 + 2

=> x + 6

=> 19 + 6

=> 25

: - So , the original fraction

= 19/25