Fractions
Author: mathforces
Problem has been solved: 118 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?
Пусть $x$, $y$, $z$ и $t$ натуральные числа для которых $\frac{x}{z}=\frac{y}{t}=\frac{3}{4}$ и $\sqrt{x^2+z^2}-\sqrt{y^2+t^2}=15$. Чему равно $xz+yt-xt-yz$?
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