Question

в одном шкафу было в 2 раза меньше книг, чем в другом . Когда в первый шкаф положили 13 книг, а из второго взяли 5, то в обоих шкафах книг стало поровну. Сколько книг было в каждом шкафу?​

Answer 1

Ответ:

Сумма 3-х величин: 41/2 книг

Пошаговое объяснение:

Answer 2

Ответ:

в первом шкафу 18 книг

во втором шкафу 36 книг

Пошаговое объяснение:

18+13=31

36-5=31

Answer 3

Problem Analysis

We are given two cabinets, one with twice as many books as the other. When 13 books are added to the first cabinet and 5 books are taken from the second cabinet, the number of books in both cabinets becomes equal. We need to determine the number of books in each cabinet.

Solution

Let's assume that the number of books in the first cabinet is x. According to the problem, the number of books in the second cabinet is twice as many, so it would be 2x.

When 13 books are added to the first cabinet, the number of books becomes x + 13. Similarly, when 5 books are taken from the second cabinet, the number of books becomes 2x - 5.

According to the problem, the number of books in both cabinets becomes equal after these operations. Therefore, we can set up the following equation:

x + 13 = 2x - 5

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

Solving the Equation

To solve the equation, we'll isolate x on one side of the equation:

x + 13 = 2x - 5

Subtract x from both sides:

13 = x - 5

Add 5 to both sides:

18 = x

So, the number of books in the first cabinet (x) is 18.

Since the number of books in the second cabinet is twice as many, it would be 2x = 2 * 18 = 36.

Therefore, there are 18 books in the first cabinet and 36 books in the second cabinet.

Answer

There are 18 books in the first cabinet and 36 books in the second cabinet.