Question 148
Solve the system of equations:
$$
\left\{\begin{array}{l}
x + y + \sqrt{x y} = 28 \\
x^{2} + y^{2} + x y = 336
\end{array}\right.
$$
$$
\left\{\begin{array}{l}
x + y + \sqrt{x y} = 28 \\
x^{2} + y^{2} + x y = 336
\end{array}\right.
$$
Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)