Question 12
Suppose $\overline{ABC}$, $\overline{DEF}$ and $\overline{GHI}$ are three-digit numbers such that
- $\overline{ABC}+\overline{DEF}+\overline{GHI}=2022$,
- All nine digits are distinct, and
- $\overline{ABC}<\overline{DEF}<\overline{GHI}$.
What is the largest possible value of $\overline{ABC}$?
- $\overline{ABC}+\overline{DEF}+\overline{GHI}=2022$,
- All nine digits are distinct, and
- $\overline{ABC}<\overline{DEF}<\overline{GHI}$.
What is the largest possible value of $\overline{ABC}$?