MathDB
2012-2013 Winter OMO #25

Source:

January 16, 2013
Online Math Openmodular arithmeticcalculusintegration

Problem Statement

Positive integers x,y,z≤100x,y,z \le 100 satisfy \begin{align*} 1099x+901y+1110z &= 59800 \\ 109x+991y+101z &= 44556 \end{align*} Compute 10000x+100y+z10000x+100y+z.
Evan Chen
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