olymmath

HMMT 2004 U3

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If the system of equations

∣x+y∣=99∣x−y∣=c\begin{aligned} & |x+y|=99 \\ & |x-y|=c \end{aligned}

has exactly two real solutions (x,y)(x, y), find the value of cc.

Dataset text NuminaMath olympiads. Quoted with source.

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