Question

sum of numerator and the denominator of a fraction is 12 if the denominator is increased by 3 then factors become 1/2 find the fraction​

Answer 1

Answer:

5/7

Step-by-step explanation:

Let call our fraction  

x

y

, we know that:

x

+

y

=

12

and

x

y

+

3

=

1

2

from the second:

x

=

1

2

(

y

+

3

)

into the first:

1

2

(

y

+

3

)

+

y

=

12

y

+

3

+

2

y

=

24

3

y

=

21

y

=

21

3

=

7

and so:

x

=

12

−

7

=

5

Answer 2

Let the numerator be x.

Then, the denominator will be (12 - x).

A/Q :-

$\frac{x}{(12 - x) + 3} = \frac{1}{2} \\ \\ \frac{x}{12 - x + 3} = \frac{1}{2} \\ \\ \frac{x}{15 - x} = \frac{1}{2} \\ \\ 2x = 15 - x \\ 2x + x = 15 \\ 3x = 15 \ \\ \ x = \frac{15}{3} \\ x = 5$

${ \large {\blue{Hence, \: The \: \: fraction \: \: is \: ( \frac{x}{12 - x}) \: \: \frac{5}{7} }}}$