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MathNet 2010 — Part 03 Question 77

Math Olympiad Vault · MathNet 2010 — Part 03

Question 77

Three real numbers $a$, $b$, $c$ satisfy the equations
$$
\begin{aligned}
a + 2b + 3c &= 12, \\
2ab + 3ac + 6bc &= 48.
\end{aligned}
$$
Solve for $a$, $b$, $c$.