Question

Жили-были 2 брата – близнеца. Один из них ежедневно спал 1/3 суток, а другой 1/4 суток. Дожили они так до 72 – летнего возраста. Сколько лет за это время проспал каждый из них?

Answer 1

1 - 24 года 
2 - 18 лет

Answer 2

Problem Analysis

We are given two twin brothers, one of whom sleeps for 1/3 of a day, and the other sleeps for 1/4 of a day. We need to determine how many years each brother has slept over the course of their 72-year lifespan.

Solution

To find out how many years each brother has slept, we need to calculate the total number of days each brother has slept and then convert it into years.

Let's start with the brother who sleeps for 1/3 of a day. We know that there are 24 hours in a day, so 1/3 of a day is equal to (1/3) * 24 = 8 hours of sleep per day. Since the brother sleeps for 8 hours every day, we can calculate the total number of days he has slept over 72 years by multiplying 8 hours by 365 days per year and then multiplying it by 72 years:

Total days slept = 8 hours/day * 365 days/year * 72 years

Now let's calculate the total number of days the other brother has slept. He sleeps for 1/4 of a day, which is equal to (1/4) * 24 = 6 hours of sleep per day. Using the same calculation as before, we can find the total number of days he has slept over 72 years:

Total days slept = 6 hours/day * 365 days/year * 72 years

Now that we have the total number of days each brother has slept, we can convert it into years by dividing the total days slept by 365:

Total years slept = Total days slept / 365

Let's calculate the values:

For the brother who sleeps 1/3 of a day: Total days slept = 8 hours/day * 365 days/year * 72 years Total years slept = Total days slept / 365

For the brother who sleeps 1/4 of a day: Total days slept = 6 hours/day * 365 days/year * 72 years Total years slept = Total days slept / 365

Calculation

For the brother who sleeps 1/3 of a day: Total days slept = 8 hours/day * 365 days/year * 72 years = 210,240 days Total years slept = 210,240 days / 365 = 576 years

For the brother who sleeps 1/4 of a day: Total days slept = 6 hours/day * 365 days/year * 72 years = 157,680 days Total years slept = 157,680 days / 365 = 432 years

Answer

Therefore, the brother who sleeps 1/3 of a day has slept for 576 years over the course of 72 years, and the brother who sleeps 1/4 of a day has slept for 432 years over the same period.

Please let me know if you need any further clarification.