SOLUTION: the denomonator of a fraction is is 3 times the numerator. If 8 is added to the numerator and 6 is subtracted from the denomonater then the value is 8/9. Find the original fracti

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: the denomonator of a fraction is is 3 times the numerator. If 8 is added to the numerator and 6 is subtracted from the denomonater then the value is 8/9. Find the original fracti      Log On


   

Question 122942: the denomonator of a fraction is is 3 times the numerator. If 8 is added to the numerator and 6 is subtracted from the denomonater then the value is 8/9. Find the original fraction. This is what Ive tried...

8-8=0 and 9+6=15 so i thought the answer was 0/15...?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
he denominator of a fraction is is 3 times the numerator. If 8 is added to the numerator and 6 is subtracted from the denominator then the value is 8/9. Find the original fraction.
:
Quite frankly, I am not sure what you are doing, but here is how I would do it
:
Let x = numerator:
It says'"the denominator of a fraction is is 3 times the numerator." therefore:
3x = denominator
Our fraction:
x%2F%283x%29
Then it says,
" If 8 is added to the numerator and 6 is subtracted from the denominator then the value is 8/9." so we can write:
%28%28x%2B8%29%29%2F%28%283x-6%29%29 = 8%2F9
Cross multiply and we have:
:
8(3x-6) = 9(x+8)
:
Do some basic algebra here:
24x - 48 = 9x + 72
:
24x - 9x = 72 + 48
:
15x = 120
x = 120%2F15
x = 8
:
Our original fraction: 8%2F24
:
:
Check solution in the statement
"If 8 is added to the numerator and 6 is subtracted from the denominator then the value is 8/9."
:
%288+%2B+8%29%2F%2824+-+6%29 = 16%2F18 = 8%2F9
:
:
How about this? Did I makes sense to you here?