SOLUTION: The denominator of a fraction is 5 more than twice the numerator. If the numerator is doubled, and the denominator is increased by 5, the new fraction is equal to 1/2. Find the o

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The denominator of a fraction is 5 more than twice the numerator. If the numerator is doubled, and the denominator is increased by 5, the new fraction is equal to 1/2. Find the o      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 373475: The denominator of a fraction is 5 more than twice the numerator. If the numerator is doubled, and the denominator is increased by 5, the new fraction is equal to 1/2. Find the oricinal fraction.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The denominator of a fraction is 5 more than twice the numerator.
If the numerator is doubled, and the denominator is increased by 5,
the new fraction is equal to 1/2.
Find the original fraction.
:
Let x = the numerator
then
(2x+5) = the denominator
:
"If the numerator is doubled, and the denominator is increased by 5,
the new fraction is equal to 1/2. "
%282x%29%2F%28%282x%2B5%2B5%29%29 = 1%2F2
%282x%29%2F%28%282x%2B10%29%29 = 1%2F2
Cross multiply
2(2x) = 2x + 10
4x = 2x + 10
4x - 2x = 10
2x = 10
x = 5
:
The original equation
5%2F%28%282%285%29%2B5%29%29 = 5%2F15