Question

В первом шкафу в 4 раза меньше книг че во второй когда в первый шкаф положили 17 книг а из второго взяли 25 то в обоих шкафах книг стало поровну сколько книг было в каждом шкафу ?

Answer 1

Х + 17 = 4х - 25
4х - Х = 17 + 25
3х = 42
Х = 14 ( книг ) было в первом
4 • 14 = 56 ( книг ) было во втором

Answer 2

Problem Analysis

We are given two cabinets, and the number of books in the first cabinet is four times less than the number of books in the second cabinet. We are also given that 17 books were placed in the first cabinet, and 25 books were taken out of the second cabinet. After this operation, the number of books in both cabinets became equal. We need to find the number of books in each cabinet before and after the operation.

Solution

Let's assume the number of books in the second cabinet is x. According to the problem, the number of books in the first cabinet is four times less than x, which means the number of books in the first cabinet is x/4.

After placing 17 books in the first cabinet and taking out 25 books from the second cabinet, the number of books in both cabinets became equal. Let's denote the final number of books in both cabinets as y.

Based on the given information, we can write the following equation:

(x/4) + 17 = x - 25 = y

To find the values of x and y, we can solve this equation.

Calculation

Let's solve the equation to find the values of x and y.

(x/4) + 17 = x - 25

Multiplying both sides of the equation by 4 to eliminate the fraction:

x + 68 = 4x - 100

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

4x - x = 100 + 68

Simplifying:

3x = 168

Dividing both sides of the equation by 3:

x = 56

Now that we have the value of x, we can substitute it back into the equation to find the value of y:

y = (x/4) + 17 = (56/4) + 17 = 14 + 17 = 31

Answer

Therefore, the number of books in the first cabinet is 56/4 = 14, and the number of books in the second cabinet is 56. After the operation, the number of books in both cabinets is 31.

Please let me know if you need any further assistance!