The problem from the Soviet textbook about chickens who tirelessly lay eggs

Interesting challenges It's in every textbook. They make everything more interesting and memorable. However, solving problems is loved not only by children but also by adults. And this is good, because such a “mathematical warm-up” is not only fun, but also useful for maintaining and developing our mental abilities.

So today's editorial office. "Site" It offers to solve a couple of problems that are not as easy as it may seem at first glance. A good opportunity to test both attentiveness and the ability to think logically.



Interesting tasks Conditions of tasks

1. According to the condition of the first task, three chickens in three days lay 3 eggs. How many eggs will 12 chickens lay in 12 days? We can only hope that the chickens will have the same enviable stability all 12 days.
   
   
   
   
2. The total age of four family members is 68. Although 4 years ago, the total age of all family members was 53 years. How old is the youngest member of the family?
3. According to the condition of the task, it is known that the granddaughter is as many months as the grandmother is old. Their total age is 65 years. Find out how old your grandmother is and how old your granddaughter is.
   
   
   
   

Addressing challenges

1. If 3 chickens lay 3 eggs in 3 days, then it seems that each chicken needs 3 days to lay one egg. In 12 days each chicken will lay 12/3 = 4 eggs. Hence, it is easy to calculate that 12 chickens in 12 days will lay 4 * 12 = 48 eggs.
   
   
   
   
2. If 4 years ago each family member was 4 years younger, then their total age should be 16 years less. Therefore, it would be 68-16 = 52 years. But we have a difference of 68 - 53 = 15 years. It seems that 4 years ago the youngest member of the family was not yet born. Then we only take into account that the remaining 3 relatives over these 4 years have become older by 4 years, so 3 * 4 = 12. Hence 15-12 = 3 years. This is the age of the youngest member of the family.
   
   
3. If the granddaughter is as old as the grandmother, then this means that the granddaughter is now exactly 12 times younger than her older relative. Here you can recall the school equations, where the age of the granddaughter, and 12 - the age of the grandmother. So 12 + = 65. So 13 = 65, and 65 / 13 = 5. Since the age of the granddaughter is 5 years, it is not difficult to find the age of the grandmother. 65 - 5 = 60 years.
   
   
   
   

These are some interesting problems. Although for those who skipped school mathsPerhaps the solution will not be so simple. But the more complex the problem, the more pleasant it is when you finally manage to find the right answer. Isn't that right?