Problem 6.1. Find any solution to the puzzle

$$
\overline{A B}+A \cdot \overline{C C C}=247
$$

where $A, B, C$ are three different non-zero digits; the notation $\overline{A B}$ represents a two-digit number composed of the digits $A$ and $B$; the notation $\overline{C C C}$ represents a three-digit number consisting only of the digit $C$. Write the three-digit number $\overline{A B C}$ as your answer.