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December 9, 2013

# Homework Help: algebra

Posted by Sarah on Monday, August 10, 2009 at 1:39pm.

The denominator of a fraction is 12 more than the numerator. If 16 is added to the numerator and 16 is subtracted from the denominator, the value of the resulting fraction is equal to 2/1. Find the original fraction

• algebra - Marth, Monday, August 10, 2009 at 1:46pm

"The denominator of a fraction is 12 more than the numerator."

let x = the numerator
x+12 = the denominator

"If 16 is added to the numerator and 16 is subtracted from the denominator, the value of the resulting fraction is equal to 2/1"

(x+16) / (x+12-16) = 2/1
x = ?

Use x to find the original numerator and denominator based on the first statement.

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