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MathNet 2007-part-02 — 187 problems (EN–VI) Question 148

Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)

Question 148

Solve the system of equations:
$$
\left\{\begin{array}{l}
x + y + \sqrt{x y} = 28 \\
x^{2} + y^{2} + x y = 336
\end{array}\right.
$$