2. Aseya divided Vasya's favorite number by her favorite number, and Buseya divided Vasya's favorite number by her favorite number. Then both girls wrote on the board the divisor, the quotient, and the remainder. The five numbers on the board are 2020, 2020, 2021, 2021, 2021. Can the sixth number be determined uniquely?
Solution
Solution. No. Let's consider two options for what the favorite numbers of the kids could have been:
| | Vasya | Asya | Buseya |
| :---: | :---: | :---: | :---: |
| Option 1 | | 2021 | 2021 |
| Option 2 | | 2021 | 2022 |
It is clear that in the first case, the sixth number would be 2021, and in the second case, it would be 2022.
## Criteria.
Full solution - 7 points.
An example corresponding to Option 2 from the solution found - 4 points.
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