Question

the sum of the numarator and denominator of a fraction is 12 . if the denominator is increased by 3 ,the fraction becomes 1/2. find the fraction​

Answer 1

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The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 1/2. What is the fraction?

Algebra

1 Answer

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

Answer : Let the denominator be X .

Then the numerator will be 12-X

A.T.Q.

12-X/X+3 =1/2

24-2X=X+3

-3X =-21

X=7

Hence Numerator is 5

Denominator is 7

Fraction = Numerator/Denominator

=5/7