# Characteristics 2104

Betka thought of a natural number with different digits and wrote it on the board.

Podeň wrote the digits of the original number on the back and thus got a new number. By adding these two numbers, he got a number with the same number of digits as the intended number and consisted only of the digits of the intended number (but did not have to contain all its digits). Erika liked Betka's number and wanted to find another number with the same characteristics. She discovered that there is no such thing as

Betka's number and larger did not want to look for her. Determine what number Betka thought and what number Erik could find if she had more patience.

Podeň wrote the digits of the original number on the back and thus got a new number. By adding these two numbers, he got a number with the same number of digits as the intended number and consisted only of the digits of the intended number (but did not have to contain all its digits). Erika liked Betka's number and wanted to find another number with the same characteristics. She discovered that there is no such thing as

Betka's number and larger did not want to look for her. Determine what number Betka thought and what number Erik could find if she had more patience.

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