Question

The denominator of a fraction is five more than twice the numerator if both the numerator and the denominator are decreased by three the simplified result is 1/4 find the original fraction

Answer 1

7/19

Step-by-step explanation: we could get two equations from the question if we set the denominator as x and the numerator as y:

1: x=2y+5

2:(y-3)/(x-3)=1/4

cross multiply

4(y-3)=1(x-3)

4y-12=x-3

x=4y-9

3: Then we can choose one of them and minus by another one

x-x=4y-2y-(9+5)

0=2y-14

2y=14

y=7

Then we only have to plug in

x=2*7+5

x=14+5

x=19