SOLUTION: A particular fraction is equivalent to 2/3. The fraction becomes 1/3 when 4 is subtracted from the numerator and 3 is added to the denominator. What is the denominator of the orig

Algebra ->  Equations -> SOLUTION: A particular fraction is equivalent to 2/3. The fraction becomes 1/3 when 4 is subtracted from the numerator and 3 is added to the denominator. What is the denominator of the orig      Log On


   

Question 955619: A particular fraction is equivalent to 2/3. The fraction becomes 1/3 when 4 is subtracted from the numerator and 3 is added to the denominator. What is the denominator of the original fraction?
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Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
n%2Fd=2%2F3;
%28n-4%29%2F%28d%2B3%29=1%2F3

The changed form becomes 3%28n-4%29=d%2B3
3n-12=d%2B3
3n=d%2B3%2B12
highlight_green%283n=d%2B15%29

The original fraction gives n=2d%2F3.

Substitute.
3%282d%2F3%29=d%2B15
2d=d%2B15
highlight%28d=15%29, the value to be answered.