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2014 AMC 10BProblem 9P1-10~2 minPrint
Algebraic ManipulationSet up the equation/formula and compute; no special trick neededTest small/specific values or special cases to find or verify the answer

For real numbers ww and zz , 1w+1z1w−1z=2014.\frac{\frac{1}{w} + \frac{1}{z}}{\frac{1}{w} - \frac{1}{z}} = 2014. What is w+zw−z\frac{w+z}{w-z} ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.