Question

Трое ребят задумали по двузначному числу. Затем каждые двое сыграли в такую игру: они сравнили первые цифры своих чисел, и тот, у кого цифра больше, дал другому столько щелчков, на сколько больше его цифра,затем проделали со вторыми цифрами. Могло ли так получится, что всего они проделали 23 щелчка? Помогите!!! Попонятней объясните! Пожалуйста! !!!!!!!!!!!

Answer 1

Да, так как максимальное количество 54, а вставить можно от 1 до 54

Answer 2

Problem Analysis

Three children are playing a game with two-digit numbers. In each round, they compare the first digits of their numbers, and the one with the larger digit gives the other player as many clicks as the difference between the digits. They then repeat the process with the second digits. The question is whether it is possible for them to have made a total of 23 clicks. Let's analyze the problem step by step.

Solution

To solve this problem, we need to consider all possible combinations of two-digit numbers that the children could have chosen. We can start by examining the maximum number of clicks that can be made in a single round.

In a single round, the maximum number of clicks that can be made is 9, which occurs when the first digit of one number is 9 and the first digit of the other number is 0. Similarly, the maximum number of clicks for the second digit is also 9.

Therefore, the maximum number of clicks that can be made in a single round is 9 + 9 = 18.

Since the total number of clicks made by the children is given as 23, it is not possible for them to have made this many clicks. The maximum number of clicks that can be made is 18, which is less than 23.

Therefore, it is not possible for the children to have made a total of 23 clicks.

Conclusion

In the game described, where three children compare the digits of their two-digit numbers and give each other clicks based on the difference between the digits, it is not possible for them to have made a total of 23 clicks. The maximum number of clicks that can be made in a single round is 18.

Please let me know if you need any further clarification or assistance!