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 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. "
{{{(2x)/((2x+5+5))}}} = {{{1/2}}}
{{{(2x)/((2x+10))}}} = {{{1/2}}}
Cross multiply
2(2x) = 2x + 10
4x = 2x + 10
4x - 2x = 10
2x = 10
x = 5
:
The original equation
{{{5/((2(5)+5))}}} = {{{5/15}}}