Question

На доске записано число 23.Каждую минуту число стирают с доски и записывают на его месте произведение его цифр ,увеличенное на 12.Что будет на доске через час?Ответ с решением срочно!!!!!

Answer 1

на доске в течение нескольких первых минут появятся эти цифры: 23, 18, 20, 12, 14, 16, 18, … Начиная со второй минуты, числа повторяются с периодом 5. Так как  то через час на доске будет записано пятое число из (двенадцатого) периода, то есть 16.(если не ошибаюсь)

Answer 2

Problem Analysis

We are given a number 23 written on a board. Every minute, the number is erased from the board and replaced with the product of its digits, increased by 12. We need to determine what number will be on the board after one hour.

Solution

To solve this problem, we can simulate the process for one hour, updating the number on the board every minute.

Let's start with the initial number 23. We can calculate the product of its digits, which is 2 * 3 = 6. Adding 12 to this product gives us 18. So after the first minute, the number on the board will be 18.

For the second minute, we need to calculate the product of the digits of 18, which is 1 * 8 = 8. Adding 12 to this product gives us 20. So after the second minute, the number on the board will be 20.

We can continue this process for each minute until we reach one hour, which is 60 minutes.

Calculation

Let's calculate the number on the board for each minute:

- After 1 minute: 23 -> 2 * 3 + 12 = 18 - After 2 minutes: 18 -> 1 * 8 + 12 = 20 - After 3 minutes: 20 -> 2 * 0 + 12 = 12 - After 4 minutes: 12 -> 1 * 2 + 12 = 14 - After 5 minutes: 14 -> 1 * 4 + 12 = 16 - After 6 minutes: 16 -> 1 * 6 + 12 = 18 - After 7 minutes: 18 -> 1 * 8 + 12 = 20 - After 8 minutes: 20 -> 2 * 0 + 12 = 12 - After 9 minutes: 12 -> 1 * 2 + 12 = 14 - After 10 minutes: 14 -> 1 * 4 + 12 = 16 - After 11 minutes: 16 -> 1 * 6 + 12 = 18 - After 12 minutes: 18 -> 1 * 8 + 12 = 20 - After 13 minutes: 20 -> 2 * 0 + 12 = 12 - After 14 minutes: 12 -> 1 * 2 + 12 = 14 - After 15 minutes: 14 -> 1 * 4 + 12 = 16 - After 16 minutes: 16 -> 1 * 6 + 12 = 18 - After 17 minutes: 18 -> 1 * 8 + 12 = 20 - After 18 minutes: 20 -> 2 * 0 + 12 = 12 - After 19 minutes: 12 -> 1 * 2 + 12 = 14 - After 20 minutes: 14 -> 1 * 4 + 12 = 16 - After 21 minutes: 16 -> 1 * 6 + 12 = 18 - After 22 minutes: 18 -> 1 * 8 + 12 = 20 - After 23 minutes: 20 -> 2 * 0 + 12 = 12 - After 24 minutes: 12 -> 1 * 2 + 12 = 14 - After 25 minutes: 14 -> 1 * 4 + 12 = 16 - After 26 minutes: 16 -> 1 * 6 + 12 = 18 - After 27 minutes: 18 -> 1 * 8 + 12 = 20 - After 28 minutes: 20 -> 2 * 0 + 12 = 12 - After 29 minutes: 12 -> 1 * 2 + 12 = 14 - After 30 minutes: 14 -> 1 * 4 + 12 = 16 - After 31 minutes: 16 -> 1 * 6 + 12 = 18 - After 32 minutes: 18 -> 1 * 8 + 12 = 20 - After 33 minutes: 20 -> 2 * 0 + 12 = 12 - After 34 minutes: 12 -> 1 * 2 + 12 = 14 - After 35 minutes: 14 -> 1 * 4 + 12 = 16 - After 36 minutes: 16 -> 1 * 6 + 12 = 18 - After 37 minutes: 18 -> 1 * 8 + 12 = 20 - After 38 minutes: 20 -> 2 * 0 + 12 = 12 - After 39 minutes: 12 -> 1 * 2 + 12 = 14 - After 40 minutes: 14 -> 1 * 4 + 12 = 16 - After 41 minutes: 16 -> 1 * 6 + 12 = 18 - After 42 minutes: 18 -> 1 * 8 + 12 = 20 - After 43 minutes: 20 -> 2 * 0 + 12 = 12 - After 44 minutes: 12 -> 1 * 2 + 12 = 14 - After 45 minutes: 14 -> 1 * 4 + 12 = 16 - After 46 minutes: 16 -> 1 * 6 + 12 = 18 - After 47 minutes: 18 -> 1 * 8 + 12 = 20 - After 48 minutes: 20 -> 2 * 0 + 12 = 12 - After 49 minutes: 12 -> 1 * 2 + 12 = 14 - After 50 minutes: 14 -> 1 * 4 + 12 = 16 - After 51 minutes: 16 -> 1 * 6 + 12 = 18 - After 52 minutes: 18 -> 1 * 8 + 12 = 20 - After 53 minutes: 20 -> 2 * 0 + 12 = 12 - After 54 minutes: 12 -> 1 * 2 + 12 = 14 - After 55 minutes: 14 -> 1 * 4 + 12 = 16 - After 56 minutes: 16 -> 1 * 6 + 12 = 18 - After 57 minutes: 18 -> 1 * 8 + 12 = 20 - After 58 minutes: 20 -> 2 * 0 + 12 = 12 - After 59 minutes: 12 -> 1 * 2 + 12 = 14 - After 60 minutes: 14 -> 1 * 4 + 12 = 16

So, after one hour (60 minutes), the number on the board will be 16.

Answer

After one hour, the number on the board will be 16.

Please let me know if you need any further assistance!