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MathNet 2004 — Part 03 Question 13

Math Olympiad Vault · MathNet 2004 — Part 03

Question 13

If the system of equations
$$
\begin{aligned}
& |x+y|=99 \\
& |x-y|=c
\end{aligned}
$$
has exactly two real solutions $(x, y)$, find the value of $c$.