Question

The sum of the numerator and denominator of a fraction is 12. If 1 is added to both the
numerator and the denominator, the fraction becomes 3/4. Find the fraction.​

Answer 1

Answer:

Step-by-step explanation:let the numerator be x

and the denominator be 12-x

when 1 is added the fraction become x+1/12-x+1 = 3/4

by cross multiplication we get

4(x+1)= 3(13-x)

4x +4= 39-3x

4x +3x = 39-4

7x = 35

x = 35/7

x= 5 (numerator)

12-x ( denominator )= 7

Answer 2

Answer:

let numerator is x

and denominator is y

so

x+y=12. 1eq.

x+1/y+1=3/4

4x+4=3y+3

4x-3y+4-3=0

4x-3y=-1. 2eq.

by solving eq. 1 and 2

7y=49

y=49/7=7

by eq.1

x+7=12

x=12-7

=5