SOLUTION: the numerator of a rational number is less than its denominator by 3.if the numerator became 3 times and the denominator is increased by 20,the faction became 1\8,find the origina

Algebra ->  Equations -> SOLUTION: the numerator of a rational number is less than its denominator by 3.if the numerator became 3 times and the denominator is increased by 20,the faction became 1\8,find the origina      Log On


   

Question 644206: the numerator of a rational number is less than its denominator by 3.if the numerator became 3 times and the denominator is increased by 20,the faction became 1\8,find the original faction









Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
the numerator of a rational number is less than its denominator by 3.if the numerator became 3 times and the denominator is increased by 20,the faction became 1\8,find the original faction
.
Let d = denominator
then
d-3 = numerator
.
3(d-3)/(d+20) = 1/8
(3d-9)/(d+20) = 1/8
cross multiplying:
8(3d-9) = (d+20)
24d-72 = d+20
23d-72 = 20
23d = 92
d = 4 (denominator)
.
numerator:
d-3 = 4-3 = 1
.
answer: 1/4