Question

В двух пачках было одинаковое количество тетрадей. после того как из второй папки переложили в первую 6 тетрадей. в первой папке стало в 3 раза больше чем во второй. сколько тетрадей было в каждой папке первоначально?

Answer 1

X = Y 
X + 6 = 3 * ( Y - 6  ) 
--------------------
Y + 6 = 3Y - 18 
3Y - Y = 6 + 18 
2Y = 24 
Y = 12 
Ответ в первой папке было 12 тетрадей, в второй тоже 12 тетрадей

Answer 2

Problem Analysis

We are given two folders with an equal number of notebooks. After transferring 6 notebooks from the second folder to the first folder, the number of notebooks in the first folder becomes three times the number in the second folder. We need to determine the initial number of notebooks in each folder.

Solution

Let's assume the initial number of notebooks in each folder is x.

After transferring 6 notebooks from the second folder to the first folder, the number of notebooks in the first folder becomes x + 6, and the number of notebooks in the second folder becomes x - 6.

According to the problem, the number of notebooks in the first folder is three times the number in the second folder:

x + 6 = 3(x - 6)

Now, let's solve this equation to find the value of x.

Solving the Equation

Expanding the equation:

x + 6 = 3x - 18

Bringing the x terms to one side and the constant terms to the other side:

x - 3x = -18 - 6

Simplifying:

-2x = -24

Dividing both sides by -2:

x = 12

Answer

The initial number of notebooks in each folder was 12.