Single-digit 7302
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.
Correct answer:
You need to know the following knowledge to solve this word math problem:
Themes, topics:
Grade of the word problem:
Related math problems and questions:
- Double-digit 5411
Anička and Blanka each wrote one double-digit number, which started with a seven. The girls chose different numbers. Then, each inserted a zero between the two digits, giving them a three-digit number. Everyone subtracted their original two-digit number f - Characters 82998
Adam wrote the following sum with five secret adders: a + bb + ccc + dddd + eeeee. He revealed that the characters "a, b, c, d, e" represent the different digits 1, 2, 3, 4, and 5 and that the resulting sum is divisible by 11. Which is the smallest and wh - Four-digit 10261
Roman likes magic and math. Last time he conjured three- or four-digit numbers like this: • created two new numbers from the given number by dividing it between digits in the place of hundreds and tens (e.g., from the number 581, he would get 5 and 81), • - Three-digit 5524
Six cards with digits 1, 2, 3, 4, 5, and 6 are on the table. Agnes made a six-digit number from these cards, divisible by six. Then she gradually removed the cards from the right. A five-digit number divisible by five remained on the table when she remove
- Three-digit number
Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number. - Difference 68664
The digits 1, 2, 4, and 8 form two four-digit numbers so that all 4 digits are used in the notation of each number. Calculate the difference between such largest even number and smallest odd number (in that order). - Three-digit 33263
Calculate the difference between the smallest odd four-digit number and the largest even three-digit number, where we can form each number from only these digits: 0, 1, 3, 5, 7, 8, 9 without repeating digits.
