Question

The ratio of the numerator to the denominator of a certain fraction is one to four. If three is added to the numerator and subtracted from the denominator, the new fraction reduces to one-third. What is the original fraction?

12/45

15/45

12/48


i got b

Answer 1

let fraction is \[\frac{ x }{ y }\]
\[then ~\frac{ x }{y } =\frac{ 1 }{4 },~or~y=4x\]
again
\[\frac{ x+3 }{y-3 }=\frac{ 1 }{3 },~or~3x+9=y-3\]
substitute the value of y, then find x and finally y.

Answer 2

it is not b