2 [ Numerical inequalities. Comparing numbers.]

Top student Polikarp and underachiever Kolya were forming the largest five-digit number consisting of different odd digits. Polikarp formed his number correctly, while Kolya made a mistake - he did not notice the word "different" in the condition and was very pleased that his number turned out to be larger than Polikarp's. What numbers did Polikarp and Kolya form?
Think about what the first digits of the sought numbers should be.

## Solution

Polycarp's number will consist of the digits $1,3,5,7,9$. To make it the largest, the digits should be written in strictly reverse order: 97531. In Kolka's number, five digits 9 will be included, and his number will be 99999.

## Answer

97531 and 99999.