Question

Решите пожалуйста задачу (дам аж 30 баллов!!!)подробно с объяснениями !!! 1 Три друга Юра Миша и Ваня коллекционируют магниты. Если Юра отдаст Мише 50 магнитов то у Миши и Вани будет поровну . Если Юра отдаст Мише 40 магнитов то у Юры и Вани будет поровну. Сколько магнитов должен отдать Юра Мише чтобы у них было поровну?

Answer 1

Ответ:

ответ 45 поровну

Пошаговое объяснение:

90/2=45

Answer 2

Problem Analysis

To solve this problem, we need to find the number of magnets that Yura should give to Misha so that they have an equal number of magnets. We are given two conditions: 1. If Yura gives Misha 50 magnets, then Misha and Vanya will have an equal number of magnets. 2. If Yura gives Misha 40 magnets, then Yura and Vanya will have an equal number of magnets.

Let's assume that Yura has x magnets, Misha has y magnets, and Vanya has z magnets. We can set up the following equations based on the given conditions:

1. If Yura gives Misha 50 magnets, then Misha and Vanya will have an equal number of magnets: - y + 50 = z

2. If Yura gives Misha 40 magnets, then Yura and Vanya will have an equal number of magnets: - x - 40 = z

We need to find the value of x (the number of magnets Yura should give to Misha) so that Misha and Yura have an equal number of magnets.

Solution

To find the value of x, we can solve the above equations simultaneously. Let's substitute the second equation into the first equation:

- (x - 40) + 50 = z - x + 10 = z

Now, we have two equations: 1. y + 50 = z 2. x + 10 = z

Since we want Misha and Yura to have an equal number of magnets, we can equate y and x:

- y = x

Substituting this into the first equation, we get:

- x + 50 = x + 10

Simplifying the equation, we find:

- 50 = 10

This equation is not possible to solve. It seems there is an error in the problem statement or the given conditions are contradictory. Please double-check the problem statement or provide additional information to resolve the contradiction.

If you have any further questions, please let me know.