Digit puzzle
Four different digits were on the four cards, one of which was zero. Vojta composed the largest four-digit number from the cards, and Martin the smallest four-digit number. Adam wrote the difference between Vojtov's and Martin's numbers on the board.
Then Vojta composed the largest possible three-digit number from the cards and Martin the smallest possible three-digit number. Adam again wrote the difference between Vojtov's and Martin's numbers on the board. Then Vojta and Martin similarly folded the two-digit numbers, and Adam wrote down the difference on the board.
In the end, Vojta chose the largest possible single-digit number and Martin the smallest non-zero single-digit number, and Adam wrote down their difference.
When Adam summed up all four differences on the board, he came up with 9090. Identify the four digits on the cards.
Then Vojta composed the largest possible three-digit number from the cards and Martin the smallest possible three-digit number. Adam again wrote the difference between Vojtov's and Martin's numbers on the board. Then Vojta and Martin similarly folded the two-digit numbers, and Adam wrote down the difference on the board.
In the end, Vojta chose the largest possible single-digit number and Martin the smallest non-zero single-digit number, and Adam wrote down their difference.
When Adam summed up all four differences on the board, he came up with 9090. Identify the four digits on the cards.
Final Answer:
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