Question 76
Determine all integers $a, b, c$ satisfying the identities:
$$
\begin{gathered}
a+b+c=15 \\
(a-3)^{3}+(b-5)^{3}+(c-7)^{3}=540
\end{gathered}
$$
$$
\begin{gathered}
a+b+c=15 \\
(a-3)^{3}+(b-5)^{3}+(c-7)^{3}=540
\end{gathered}
$$
MathNet 2009-part-02 — 175 problems (EN–VI) Question 76
Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)