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
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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) (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. "
=
=
Cross multiply
2(2x) = 2x + 10
4x = 2x + 10
4x - 2x = 10
2x = 10
x = 5
:
The original equation
=
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