Question

Валя, Саша, Женя и Слава играли на перемене. Кто- то из них разбил окно. Валя: «Разбил Кто-то из Мальчиков». Саша: «Это Слава!» Женя: «Среди нас мальчиков больше». Слава: «Мы с Валей девочки!». оказалось, что все девочки солгали, а все мальчики сказали правду. Кто разбил окно? (все имена могут носить как мальчики так и девочки) Ответ объясните Прошу помогите!

Answer 1

Валя и женя.
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Answer 2

Problem Analysis

In this problem, Valya, Sasha, Zhenya, and Slava were playing during a break, and someone broke a window. Each of them made a statement about who broke the window. Valya said, "Someone among the boys broke it." Sasha said, "It was Slava!" Zhenya said, "There are more boys among us." Slava said, "Valya and I are girls!" It turned out that all the girls lied, while all the boys told the truth. We need to determine who broke the window.

Solution

Let's analyze the statements one by one:

- Valya said, "Someone among the boys broke it." This means that the window was broken by a boy.- Sasha said, "It was Slava!" This means that Slava broke the window.- Zhenya said, "There are more boys among us." This means that there are more boys than girls among Valya, Sasha, Zhenya, and Slava.- Slava said, "Valya and I are girls!" This means that both Slava and Valya are girls. Based on these statements, we can conclude that Slava broke the window. Sasha's statement is true, and Zhenya's statement confirms that there are more boys than girls among them. Valya's statement is false because Slava is a girl, not a boy. Slava's statement is also false because both Slava and Valya are girls. Therefore, the only person who could have broken the window is Slava.

Slava broke the window.

Conclusion

Based on the statements made by Valya, Sasha, Zhenya, and Slava, it can be concluded that Slava broke the window. This conclusion is supported by the fact that all the girls lied, while all the boys told the truth.

I hope this explanation helps! Let me know if you have any further questions.