Question 56
Find, with proof, all positive integers $\overline{abc}$ satisfying
$$
b \cdot \overline{ac} = c \cdot \overline{ab} + 10.
$$
$$
b \cdot \overline{ac} = c \cdot \overline{ab} + 10.
$$
MathNet 2014 Question 56
Math Olympiad Vault · MathNet 2014