Magic number conjuring
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
Final Answer:
You need to know the following knowledge to solve this word math problem:
algebraarithmeticbasic operations and conceptsnumbersthemes, topicsGrade of the word problem
Related math problems and questions:
- Kuba four-digit number
Jake wrote down a four-digit number containing two even digits and two odd digits. If he crossed out both even digits, he would get a number four times smaller than if he crossed out both odd digits. What is the largest number with these characteristics t - 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 - Digit puzzle
Four cards each showed a different digit, one of which was zero. Victor formed the largest four-digit number from the cards, and Martin formed the smallest four-digit number. Adam wrote the difference between Victor's and Martin's numbers on the board. Th - 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 - Card expression 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
- Natural numbers
Find the number of all natural numbers greater than 200 in which the digits 1, 2, 4, 6, 8 occur at most once and not contains any other digits. - Number sum divisibility
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
