9.2. Can the products of all non-zero digits of two consecutive natural numbers differ by exactly 54 times?
Answer: Yes.

Solution. For example, the numbers 299 and 300 have this property. Indeed, $2 \cdot 9 \cdot 9: 3=54$.

These two numbers are the smallest possible. Other examples can be obtained by choosing any two consecutive numbers ending in 299 and 300.

Evaluation criteria:

+ correct example provided
- only the answer "yes" or "no" is provided
- the problem is not solved or solved incorrectly