
На двух тарелках было 13яблок.Когда с одной тарелки взяли 2 яблока,а на другую добавили
3яблока,яблок на тарелках стало поровну.Сколько яблок было на каждой тарелке сначала.

Ответы на вопрос

Первоначально на тарелках было: 9 и 4 яблока.
Вот решение ;)



Problem Analysis
We have two plates with a total of 13 apples. When 2 apples are taken from one plate and 3 apples are added to the other plate, the number of apples becomes equal on both plates. We need to determine how many apples were initially on each plate.Solution
Let's assume that initially, there were x apples on one plate and y apples on the other plate.According to the given information, the total number of apples on both plates is 13. So we can write the equation:
x + y = 13 (Equation 1)
After taking 2 apples from one plate and adding 3 apples to the other plate, the number of apples becomes equal on both plates. This can be represented by the equation:
(x - 2) = (y + 3) (Equation 2)
To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method.
From Equation 1, we can express x in terms of y:
x = 13 - y
Substituting this value of x in Equation 2, we get:
(13 - y - 2) = (y + 3)
Simplifying the equation:
11 - y = y + 3
Adding y to both sides:
11 = 2y + 3
Subtracting 3 from both sides:
8 = 2y
Dividing both sides by 2:
y = 4
Now, substituting the value of y back into Equation 1, we can find the value of x:
x + 4 = 13
Subtracting 4 from both sides:
x = 9
Therefore, there were initially 9 apples on one plate and 4 apples on the other plate.
Answer
There were initially 9 apples on one plate and 4 apples on the other plate.Note: The answer provided above is based on the given information and the assumption made.


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