Question

the denominator of a positive fraction is three more than its numerator. if four is added to both the numerator and the denominator of the fraction,it becomes 2/3.the fraction is

Answer 1

$<b>Heya mate. (^_-). Solution below.$
====================================

♦ Let the numerator of the fraction be 'x'.

♦ Then, denominator of the fraction = x + 3


♠ Then, the fraction becomes = x/x + 3



♣ Now, it is given that if 4 is added to both numerator and denominator, fraction becomes 2/3

→→→ (x + 4)/(x + 3 + 4) = 2/3

=> (x + 4)/(x + 7) = 2/3


• Cross multiplying, we get,


=> 3(x + 4) = 2(x + 7)

=> 3x + 12 = 2x + 14

=> 3x - 2x = 14 - 12

=> x = 2


•°• The numerator = x = 2

•°• The denominator = x + 3 = 5


♥ Then, the fraction = 2/5.
====================================

$<marquee>Thank you.</marquee>$

Answer 2

Given that the denominator is 3 more than the numerator..
So , denominator =
$\frac{x}{x + 3}$
If 4 is added to both the numerator and denominator , it becomes ,
$\frac{x + 4}{x + 7} = \frac{2}{3}$
Now cross multiply the above equation..
$3(x + 4) = 2(x + 7)$
$3x + 12 = 2x + 14$
$3x - 2x = 14 - 12$
$x = 2$
So the fraction is ,
$= \frac{2}{5}$
PLS MARK MY ANSWER AS BRAINLIEST ANSWER....