Mathematical problem for which an elderly teacher strokes the head

Solving fascinating maths It is interesting for both children and adults. After all, there is a much clearer connection with real life than in various formulas, examples, theorems. It’s also a great opportunity to test your abilities and see how well you think logically.

So today's editorial office. "Site" It will offer a couple of tasks that will not take much time to solve. However, such a small training for the mind will be both useful and pleasant. Let's try to solve this together.



Mathematical problems Conditions of problems

1. According to the conditions of the first problem, which we see at the preview, it is clear that the hat, and gloves, and socks replace different numbers. From the examples indicated in the picture, you should understand which thing is equal to which number. This is the only way to solve the last example.
   
   
   
   
2. The second challenge asks us to find the value of each of the 4 books a student has bought. It is not known what the cost of all the books is. But it is known that if you subtract the price of the first book from the total cost, you get 84 rubles. If you subtract the price of the second, you get 80 rubles, the third - 76 rubles, the fourth - 72 rubles.
   
   
   
   
3. The third problem will also be about books. I’ve been wondering why it’s so important to read at any age. Ivan Ivanovich read exactly 2/3 of the book. At this point he became curious, he counted the pages and found that the read part is 90 pages larger than the unread part. How many pages are there in the book?
   
   
   
   

Problem-solving

1. If three caps equal 30, then one cap replaces 30/3 = 10. Then the gloves replace the number (18-10) / 2 = 4. We can also find that socks replace the number 4 – 2 = 2. Keep in mind that in the bottom line there is only one sock and one glove. So our last example is 1 + 10 * 2 = 1 + 20 = 21.
2. This problem seems pretty complicated. But if you think carefully, the solution will be very close. After all, we can find the amount paid for all the books. This is enough (84 + 80 + 76 + 72) / 3 = 312 / 3 = 104 rubles. Then the first book will cost 104 – 84 = 20 rubles. The price of the second book is 104 – 80 = 24 rubles. The third book will cost 104 – 76 = 28 rubles. And the most expensive book will force the student to part with 104 - 72 = 32 rubles.
   
   
3. If 2/3 of the book is exactly 90 pages larger than the remaining 1/3 of the book, then it is easy to determine that 1/3 of the book also equals 90 pages. If so, then the pages in the book are 90 * 3 = 270.
   
   
   
   

Of course, these problems can not be called arch-complex, but for a person who has not been in mathematics lessons for a long time, it is not easy to get together to immediately find a solution. And therefore it is quite useful to distract from routine affairs to strain the brain and solve a couple of problems. So, did you make it work?