SOLUTION: The denominator of a fraction is four more than twice the numerator. If both numerator and denominator are increased by ten the simplified result is 5/9. Find the original fractio

Algebra ->  Rational-functions -> SOLUTION: The denominator of a fraction is four more than twice the numerator. If both numerator and denominator are increased by ten the simplified result is 5/9. Find the original fractio      Log On


   

Question 627086: The denominator of a fraction is four more than twice the numerator. If both numerator and denominator are increased by ten the simplified result is 5/9. Find the original fraction. (Do NOT simplify.)
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the original numerator. Then:



Cross-multiply, solve for , then calculate

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The denominator of a fraction is four more than twice the numerator.
Original fraction: x/(2x+4)
---------
If both numerator and denominator are increased by ten the simplified result is 5/9. Find the original fraction.
----
Equation:
(x+10)/(2x+14) = 5/9
Cross-multiply to get:
9x + 90 = 10x + 70
x = 20
----
2x+4 = 24
--
Ans: 20/44
==============
Cheers,
Stan H.
======================