Question

В доме, который был заселён только супружескими парами с детьми, проводилась перепись населения. Человек, проводивший перепись, в отчёте указал: «Взрослых в доме больше, чем детей. У каждого мальчика есть сестра. Мальчиков больше, чем девочек. Бездетных семей нет». Этот отчёт был неверен. Почему?

Answer 1

Если сказано, что бездетных семей нет, значит семья состоит из 4 человек: отец, мать, сын и дочь. То есть и мужчин, и женщин в семье поровну, так же как  взрослых и детей.

Answer 2

The Incorrect Census Report

The census report conducted in a house occupied only by married couples with children stated the following: "There are more adults in the house than children. Each boy has a sister. There are more boys than girls. There are no childless families." However, this report was incorrect. Let's analyze why.

The report makes several contradictory statements that cannot all be true at the same time. Let's break down each statement and identify the inconsistencies:

1. "There are more adults in the house than children." - This statement implies that the number of adults is greater than the number of children in the house.

2. "Each boy has a sister." - This statement suggests that for every boy in the house, there is a sister.

3. "There are more boys than girls." - This statement indicates that the number of boys is greater than the number of girls in the house.

4. "There are no childless families." - This statement implies that every married couple in the house has at least one child.

Now, let's analyze the contradictions:

- If each boy has a sister, and there are more boys than girls, it means that there must be at least one boy without a sister. This contradicts the statement that each boy has a sister.

- If there are more adults than children, and each boy has a sister, it means that there must be at least one adult without a child. This contradicts the statement that there are no childless families.

Based on these contradictions, we can conclude that the census report was incorrect. It is not possible for all the statements in the report to be true simultaneously.

In summary, the census report in the house occupied only by married couples with children was incorrect because it contained contradictory statements that cannot all be true at the same time.