
два мальчика имеют по некоторому количеству яблок Первый из мальчиков даёт второму столько яблок
Сколько тот четыре имеет затем второй мальчик даёт первому столько яблок Сколько тот имеет после этого у каждого из мальчиков оказалось 8 яблок Сколько яблок было первоначально у каждого мальчика

Ответы на вопрос

Ответ:
1) 8:2=4(я) у каждого мальчика
Пошаговое объяснение:



Problem Analysis
We have two boys who initially have some apples. The first boy gives some apples to the second boy, and then the second boy gives some apples back to the first boy. After this exchange, both boys end up with 8 apples each. We need to determine the initial number of apples each boy had.Solution
Let's assume that the first boy initially had x apples and the second boy initially had y apples.1. The first boy gives some apples to the second boy. Let's say he gives a apples. After this exchange, the first boy has x - a apples, and the second boy has y + a apples. 2. The second boy gives some apples back to the first boy. Let's say he gives b apples. After this exchange, the first boy has x - a + b apples, and the second boy has y + a - b apples. 3. After these exchanges, both boys end up with 8 apples each. So we have the following equations: - x - a + b = 8 (equation 1) - y + a - b = 8 (equation 2)
To solve these equations, we can add equation 1 and equation 2:
(x - a + b) + (y + a - b) = 8 + 8
Simplifying, we get:
x + y = 16 (equation 3)
We have three equations (equation 1, equation 2, and equation 3) and three unknowns (x, y, and a). We can solve these equations to find the values of x and y.
Solving the Equations
To solve the equations, we can use the method of substitution. Let's solve equation 3 for x:x = 16 - y
Now we can substitute this value of x in equation 1:
(16 - y) - a + b = 8
Simplifying, we get:
-y - a + b = -8 (equation 4)
Similarly, we can substitute the value of x in equation 2:
y + a - b = 8
Now we can solve equations 4 and 2 simultaneously to find the values of y and a.
Adding equations 4 and 2, we get:
-y - a + b + y + a - b = -8 + 8
Simplifying, we get:
0 = 0
This means that the values of y and a can be any real numbers. There are infinitely many solutions to this problem.
Therefore, we cannot determine the initial number of apples each boy had based on the given information.
Conclusion
Based on the given information, we cannot determine the initial number of apples each boy had. The problem has infinitely many solutions.

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