SOLUTION: The denominator of a certain fraction is three times the numerator. If 2 is added to the numerator and subtracted from the denominator, the result equals 3/5. Find the original fra

Algebra ->  Triangles -> SOLUTION: The denominator of a certain fraction is three times the numerator. If 2 is added to the numerator and subtracted from the denominator, the result equals 3/5. Find the original fra      Log On


   

Question 675336: The denominator of a certain fraction is three times the numerator. If 2 is added to the numerator and subtracted from the denominator, the result equals 3/5. Find the original fraction
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The denominator of a certain fraction is three times the numerator. If 2 is added to the numerator and subtracted from the denominator, the result equals 3/5.
let x be denominator
given:
the denominator of a certain fraction is three times the numerator:
the denominator is 3x
so, fraction is:x%2F3x
If 2 is added to the numerator and subtracted from the denominator, the result equals 3%2F5.
so, we have:
%28x%2B2%29%2F%283x-2%29=3%2F5....solve for x

%28x%2B2%29%2F%283x-2%29=3%2F5....cross multiply

%28x%2B2%29%2A5=3%283x-2%29

5x%2B10=9x-6

10%2B6=9x-5x

16=4x

x=16%2F4

x=4

the original fraction is:

x%2F3x.........plug in x

4%2F%283%2A4%29

cross%284%291%2F%283%2Across%284%29%29

highlight%281%2F3%29