Question

Новобранцы стояли в ряд друг за другом, лицом в одну сторону. Среди них три брата: Петр, Николай и Денис. Впереди Петра было 50 человек, впереди Николая — 100, впереди Дениса — 170. По команде «Кругом!» все развернулись в противоположную сторону. При этом оказалось, что перед одним из братьев сейчас стоит в четыре раза больше людей, чем перед другим. Сколько может быть новобранцев, включая братьев? Укажите все возможные варианты.

Answer 1

Ответ:

нельзя списывать олимпиаду :)

Объяснение:

лол кек чебурек

Answer 2

Ответ: хз его знает

Объяснение:

Сам делаю

Answer 3

Task: Calculate the number of recruits, including the three brothers, based on the given information.

To solve this problem, let's analyze the given information step by step.

1. We know that the recruits were standing in a row, facing in one direction. 2. There are three brothers among them: Peter, Nikolai, and Denis. 3. Ahead of Peter, there were 50 people. 4. Ahead of Nikolai, there were 100 people. 5. Ahead of Denis, there were 170 people. 6. When the command "Turn around!" was given, everyone turned to face the opposite direction. 7. It was discovered that one of the brothers now had four times as many people in front of him as the other brother.

Let's consider the possibilities:

1. If Peter has four times as many people in front of him as Nikolai, then the number of people in front of Peter would be 4 times the number of people in front of Nikolai. - Let's assume the number of people in front of Nikolai is x. - Therefore, the number of people in front of Peter would be 4x. - The total number of people in front of Peter would be 50 + 4x. - Similarly, the total number of people in front of Nikolai would be 100 + x. - The total number of people in front of Denis would be 170 + 0 (since he is the last person in the row). - After turning around, the total number of people in front of each brother would be the same as the number of people behind them. - So, the total number of people behind Peter would be 50 + 4x. - The total number of people behind Nikolai would be 100 + x. - The total number of people behind Denis would be 170. - Since the total number of people behind each brother is the same, we can set up the following equation: ``` 50 + 4x = 100 + x = 170 ``` - Solving this equation, we find that x = 20. - Therefore, the total number of recruits, including the three brothers, would be the sum of the people in front of them and behind them: ``` Total number of recruits = (50 + 4x) + (100 + x) + (170 + 0) = 50 + 4(20) + 100 + 20 + 170 + 0 = 50 + 80 + 100 + 20 + 170 = 420 ``` - So, one possible answer is that there could be 420 recruits, including the three brothers.

2. Now, let's consider the other possibility: if Nikolai has four times as many people in front of him as Peter. - Let's assume the number of people in front of Peter is y. - Therefore, the number of people in front of Nikolai would be 4y. - The total number of people in front of Peter would be 50 + y. - The total number of people in front of Nikolai would be 100 + 4y. - The total number of people in front of Denis would be 170 + 0 (since he is the last person in the row). - After turning around, the total number of people in front of each brother would be the same as the number of people behind them. - So, the total number of people behind Peter would be 50 + y. - The total number of people behind Nikolai would be 100 + 4y. - The total number of people behind Denis would be 170. - Since the total number of people behind each brother is the same, we can set up the following equation: ``` 50 + y = 100 + 4y = 170 ``` - Solving this equation, we find that y = 10. - Therefore, the total number of recruits, including the three brothers, would be the sum of the people in front of them and behind them: ``` Total number of recruits = (50 + y) + (100 + 4y) + (170 + 0) = 50 + 10 + 100 + 4(10) + 170 + 0 = 50 + 10 + 100 + 40 + 170 = 370 ``` - So, another possible answer is that there could be 370 recruits, including the three brothers.

In summary, there are two possible answers for the total number of recruits, including the three brothers: 420 and 370.

Please let me know if you need any further assistance!