Question

the sum of the numerator and the denominator of a given fraction is 12 if 3 is added to it
denominator then the fraction becomes 1 by 2 find the given fraction​

Answer 1

Answer:

5/7

Step-by-step explanation:

Let the num. and den. be x and y

x+y = 12

$\frac{x}{y+ 3} = \frac{1}{2}$

2x = y+3

2(12-y) = y + 3

24 - 2y = y + 3

3y = 21

y = 7

x = 5

fraction = $\frac{5}{7}$

Answer 2

Answer:5/7

Step-by-step explanation:

Let the numerator be x and denominator be y.

Then, the fraction will be x/y.

A.T.Q

x+y=12

And when,

x/y+3=1/2

2x=y+3 or

y=2x-3

x+y=12

x+2x-3=12

3x-3=12

x-1=4

x=4+1

x=5

Fraction=5/(12-5)

=5/7