# 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:

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