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),
• added the new numbers and wrote down the result (in the example given, he would get 86),
• subtracted the smaller ones from the larger of the new numbers and wrote the result after the previous sum, thus conjuring the resulting number (in the example given, he would get 8676).
Which numbers could Roman conjure
a) 171,
b) 1513? Specify all options.
What is the largest number we can conjure in this way, and from which numbers can it arise? Identify all
• 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),
• added the new numbers and wrote down the result (in the example given, he would get 86),
• subtracted the smaller ones from the larger of the new numbers and wrote the result after the previous sum, thus conjuring the resulting number (in the example given, he would get 8676).
Which numbers could Roman conjure
a) 171,
b) 1513? Specify all options.
What is the largest number we can conjure in this way, and from which numbers can it arise? Identify all
Correct answer:
You need to know the following knowledge to solve this word math problem:
- algebra
- sets
- arithmetic
- absolute value
- addition
- subtraction
- comparing
- basic functions
- reason
- numbers
- natural numbers
Themes, topics:
Grade of the word problem:
Related math problems and questions:
- A five-digit
A five-digit odd number has the sum of all digits (digits) five and contains two zeros. If we move each digit in the number one place to the left and move the first digit to the last place, we get a number 20,988 smaller. Find this unknown five-digit numb - Digits
How many odd four-digit numbers can we create from digits 0, 3, 5, 6, and 7? (a) the figures may be repeated (b) the digits may not be repeated - Math test
Students wrote a math test. The average number of points obtained by them was 64. Another student wrote this test for 80 points. If the teacher added his result to the original ones, the total average of all students would be 65. How many students origina - 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
- Characteristics 65294
Kuba wrote down a four-digit number, two evens, and two odds. If he crossed out both even digits in that number, he would get a number four times smaller than if he crossed out both odd digits in the same number. What is the most significant number with t - 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 - Parenthesis 7284 Tomas received nine cards with the following numbers and math symbols for math olympiad results. 18, 19, 20, 20, +, -, x, (,) Note 4 numbers and operators plus, minus, times, left parenthesis, right parenthesis. He stored the cards so that there were neve
