SOLUTION: The ratio of the numerator to the denominator of a certain fraction is ten to thirteen. If four is subtracted from both the numerator and denominator, then the reduced fraction is

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of the numerator to the denominator of a certain fraction is ten to thirteen. If four is subtracted from both the numerator and denominator, then the reduced fraction is       Log On


   



Question 1068157: The ratio of the numerator to the denominator of a certain fraction is ten to thirteen. If four is subtracted from both the numerator and denominator, then the reduced fraction is two-thirds. Find the numerator.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
10x/13x
(10x-4)/(13x-4)=2/3
cross multiply
3(10x-4)=2(13x-4)
30x-12=26x-8
4x=4
x=1
the fraction is 10/13
subtract 4 from top and bottom and get 6/9, which is 2/3
Numerator is 10 ANSWER