Question

на доске записано число 61.каждую минуту число стирают с доски и записывают на то место произведение его цифр увеличенное на 13.то есть через минуту на доске будет записано 19(6Х1+13=19)Какое число можно будет прочитать на доске через час?

Answer 1

1 минута 19 (6*1+13=19)

2 минута 22 (1*9+13=22)

3 минута 17 (2*2+13=17)

4 минута 20 (1*7+13=20)

5 минута 13 (2*0+13=13)

6 минута 16 (1*3+13=16)

7 минута 19 (1*6+13=19) и т. д.

получается каждые 6 минут повторяется цикл

60:6=10 циклов

значит на доске через час будет число 16

Answer 2

61 подумай это ответ сверся

Answer 3

Problem Analysis

We are given that the number 61 is written on a board, and every minute, the number is erased and replaced with the product of its digits increased by 13. We need to determine what number will be written 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 number 61. We can calculate the product of its digits, which is 6 * 1 = 6. Adding 13 to this product gives us 19. Therefore, after one minute, the number on the board will be 19.

Now, let's update the number on the board every minute for one hour:

- After 1 minute: 19 - After 2 minutes: The product of the digits of 19 is 1 * 9 = 9. Adding 13 to this product gives us 22. - After 3 minutes: The product of the digits of 22 is 2 * 2 = 4. Adding 13 to this product gives us 17. - After 4 minutes: The product of the digits of 17 is 1 * 7 = 7. Adding 13 to this product gives us 20. - After 5 minutes: The product of the digits of 20 is 2 * 0 = 0. Adding 13 to this product gives us 13. - After 6 minutes: The product of the digits of 13 is 1 * 3 = 3. Adding 13 to this product gives us 16. - After 7 minutes: The product of the digits of 16 is 1 * 6 = 6. Adding 13 to this product gives us 19. - After 8 minutes: The product of the digits of 19 is 1 * 9 = 9. Adding 13 to this product gives us 22. - After 9 minutes: The product of the digits of 22 is 2 * 2 = 4. Adding 13 to this product gives us 17. - After 10 minutes: The product of the digits of 17 is 1 * 7 = 7. Adding 13 to this product gives us 20. - After 11 minutes: The product of the digits of 20 is 2 * 0 = 0. Adding 13 to this product gives us 13. - After 12 minutes: The product of the digits of 13 is 1 * 3 = 3. Adding 13 to this product gives us 16. - After 13 minutes: The product of the digits of 16 is 1 * 6 = 6. Adding 13 to this product gives us 19. - After 14 minutes: The product of the digits of 19 is 1 * 9 = 9. Adding 13 to this product gives us 22. - After 15 minutes: The product of the digits of 22 is 2 * 2 = 4. Adding 13 to this product gives us 17. - After 16 minutes: The product of the digits of 17 is 1 * 7 = 7. Adding 13 to this product gives us 20. - After 17 minutes: The product of the digits of 20 is 2 * 0 = 0. Adding 13 to this product gives us 13. - After 18 minutes: The product of the digits of 13 is 1 * 3 = 3. Adding 13 to this product gives us 16. - After 19 minutes: The product of the digits of 16 is 1 * 6 = 6. Adding 13 to this product gives us 19. - After 20 minutes: The product of the digits of 19 is 1 * 9 = 9. Adding 13 to this product gives us 22. - After 21 minutes: The product of the digits of 22 is 2 * 2 = 4. Adding 13 to this product gives us 17. - After 22 minutes: The product of the digits of 17 is 1 * 7 = 7. Adding 13 to this product gives us 20. - After 23 minutes: The product of the digits of 20 is 2 * 0 = 0. Adding 13 to this product gives us 13. - After 24 minutes: The product of the digits of 13 is 1 * 3 = 3. Adding 13 to this product gives us 16. - After 25 minutes: The product of the digits of 16 is 1 * 6 = 6. Adding 13 to this product gives us 19. - After 26 minutes: The product of the digits of 19 is 1 * 9 = 9. Adding 13 to this product gives us 22. - After 27 minutes: The product of the digits of 22 is 2 * 2 = 4. Adding 13 to this product gives us 17. - After 28 minutes: The product of the digits of 17 is 1 * 7 = 7. Adding 13 to this product gives us 20. - After 29 minutes: The product of the digits of 20 is 2 * 0 = 0. Adding 13 to this product gives us 13. - After 30 minutes: The product of the digits of 13 is 1 * 3 = 3. Adding 13 to this product gives us 16. - After 31 minutes: The product of the digits of 16 is 1 * 6 = 6. Adding 13 to this product gives us 19. - After 32 minutes: The product of the digits of 19 is 1 * 9 = 9. Adding 13 to this product gives us 22. - After 33 minutes: The product of the digits of 22 is 2 * 2 = 4. Adding 13 to this product gives us 17. - After 34 minutes: The product of the digits of 17 is 1 * 7 = 7. Adding 13 to this product gives us 20. - After 35 minutes: The product of the digits of 20 is 2 * 0 = 0. Adding 13 to this product gives us 13. - After 36 minutes: The product of the digits of 13 is 1 * 3 = 3. Adding 13 to this product gives us 16. - After 37 minutes: The product of the digits of 16 is 1 * 6 = 6. Adding 13 to this product gives us 19. - After 38 minutes: The product of the digits of 19 is 1 * 9 = 9. Adding 13 to this product gives us 22. - After 39 minutes: The product of the digits of 22 is 2 * 2 = 4. Adding 13 to this product gives us 17. - After 40 minutes: The product of the digits of 17 is 1 * 7 = 7. Adding 13 to this product gives us 20. - After 41 minutes: The product of the digits of 20 is 2 * 0 = 0. Adding 13 to this product gives us 13. - After 42 minutes: The product of the digits of 13 is 1 * 3 = 3. Adding 13 to this product gives us 16. - After 43 minutes: The product of the digits of 16 is 1 * 6 = 6. Adding 13 to this product gives us 19. - After 44 minutes: The product of the digits of 19 is 1 * 9 = 9. Adding 13 to this product gives us 22. - After 45 minutes: The product of the digits of 22 is 2 * 2 = 4. Adding 13 to this product gives us 17. - After 46 minutes: The product of the digits of 17 is 1 * 7 = 7. Adding 13 to this product gives us 20. - After 47 minutes: The product of the digits of 20 is 2 * 0 = 0. Adding 13 to this product gives us 13. - After 48 minutes: The product of the digits of 13 is 1 * 3 = 3. Adding 13 to this product gives us 16. - After 49 minutes: The product of the digits of 16 is 1 * 6 = 6. Adding 13 to this product gives us 19. - After 50 minutes: The product of the digits of 19 is 1 * 9 = 9. Adding 13 to this product gives us 22. - After 51 minutes: The product of the digits of 22 is 2 * 2 = 4. Adding 13 to this product gives us 17. - After 52 minutes: The product of the digits of 17 is 1 * 7 = 7. Adding 13 to this product gives us 20. - After 53 minutes: The product of the digits of 20 is 2 * 0 = 0. Adding 13 to this product gives us 13. - After 54 minutes: The product of the digits of 13 is 1 * 3 = 3. Adding 13 to this product gives us 16. - After 55 minutes: The product of the digits of 16 is 1 * 6 = 6. Adding 13 to this product gives