2. (2 points) Solve the puzzle $T O K=K O T+K T O$. (Different letters represent different digits, numbers cannot start with zero).
Answer: $954=459+495$.

Solution: Let's write the numbers from our puzzle as the sum of place value addends:

$$
100 T+10 O+K=100 K+10 T+O+100 K+10 O+T
$$

from which $89 T=199 K+O$. The left side of the equation does not exceed 801, so it makes sense to try $K$ from 1 to 4. When $K=4$, we get $T=9$ and $O=5$.