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Fractions

Author: mathforces
Problem has been solved: 74 times

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Let $ x $, $ y $, $ z $ and $ t $ be positive integer numbers for which $ \frac{x}{z} = \frac{y}{t} = \frac{3}{4} $ and $ \sqrt{x^2 + z^2} - \sqrt{y^2 + t^2} = $ 15. What is $ xz + yt-xt-yz $ equal to?





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