Question 99
The numbers $2009$, $2012$ and $2015$ are written on the board. In each step Željko marks the numbers on the board by $a$, $b$ and $c$ in some order, and then replaces them with the numbers $3a - b$, $3b - c$ and $3c - a$. By repeating this procedure multiple times, can Željko achieve that at some point all the numbers on the board are equal?