Question

Чотири товариші Роман, Фе-дір, Юра і Костя разом зі свої-ми дружинами пішли на бал. Спочатку кожен танцював зі своєю дружиною, а потім пари перемішалися. Віра танцювала з Романом, Оксана – з чолові¬ком Ольги, Тося – з чоловіком Оксани, Федір – з дружиною Юри, а Юра – з дружиною Ро¬мана. Визначте, хто з ким од¬ружений і хто з ким танцював?

Answer 1

По условию: Роман танцевал с Верой (не женой). Жена у него не Ольга, потому что с ее мужем танцевала Оксана. Жена у него не Оксана, потому что с ее мужем танцевала Тося. Значит остается что жена у него Тося.

Юра танцевал с женой Романа - Тосей. По условию Тося танцевала с мужем Оксаны. Значит у Юры жена  - Оксана.

Федор танцевал с женой Юры - Оксаной. Оксана танцевала с мужем Ольги. Следовательно жена Федора - Ольга.

Ну а Косте кто остался. Танцевал не с женой, значит с Ольгой. Жена танцевала с другим, значит жена Вера.

Answer 2

Problem Analysis

The problem states that four friends, Roman, Fedir, Yura, and Kostya, along with their wives, went to a ball. Initially, each person danced with their own spouse, and then the couples mixed. The problem asks us to determine who is married to whom and who danced with whom.

Solution

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

1. Each person initially danced with their own spouse. 2. Afterward, the couples mixed and danced with different partners.

Let's assign variables to each person and their spouse:

- Roman and his wife - Fedir and his wife - Yura and his wife - Kostya and his wife

Now, let's analyze the given information:

1. Vira danced with Roman. 2. Oksana danced with Olga's husband. 3. Tosi danced with Oksana's husband. 4. Fedir danced with Yura's wife. 5. Yura danced with Roman's wife.

Based on this information, we can determine the following:

- Roman is married to Vira. - Fedir is married to Oksana. - Yura is married to Tosi. - Kostya is married to Olga.

As for the dance partners:

- Roman danced with Vira. - Oksana danced with Fedir. - Tosi danced with Yura. - Fedir danced with Yura's wife. - Yura danced with Roman's wife.

Answer

Based on the given information, we can determine the following marriages and dance partners:

- Roman is married to Vira and danced with her. - Fedir is married to Oksana and danced with her. - Yura is married to Tosi and danced with her. - Kostya is married to Olga.

Please let me know if you need any further clarification.