SOLUTION: The denominator of a fraction is one less than twice the numerator. If seven is added to both the numerator and the denominator, the resulting fraction has a value of seven-tenths.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The denominator of a fraction is one less than twice the numerator. If seven is added to both the numerator and the denominator, the resulting fraction has a value of seven-tenths.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 242967: The denominator of a fraction is one less than twice the numerator. If seven is added to both the numerator and the denominator, the resulting fraction has a value of seven-tenths. Find the original fraction.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The denominator of a fraction is one less than twice the numerator. If seven is added to both the numerator and the denominator, the resulting fraction has a value of seven-tenths. Find the original fraction.
-------------------
Let the numerator be "x".
The the denominator is "2x-1".
------------------------------------
Equation:
(x+7/(2x-1+7) = 7/10
Cross multiply to get:
10(x+7) = 7(2x+6)
10x + 70 = 14x+42
4x = 28
x = 7
2x-1 = 13
---------------------
The original fraction is 7/13
===================================
Cheers,
Stan H.