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2014 AMC 10B Question 9

AMC10 · 2014 AMC 10B

Question 9

For real numbers $ w $ and $ z ,$ $$
\cfrac{\frac{1}{w} + \frac{1}{z}}{\frac{1}{w} - \frac{1}{z}} = 2014.
$$ What is $ \frac{w+z}{w-z} ?$
  1. $ -2014 $
  2. $ \dfrac{-1}{2014} $
  3. $ \dfrac{1}{2014} $
  4. $ 1 $
  5. $ 2014 $