Question

На верхней полке было в 4раза меньше книг чем на нижней. после того с верхней сняли 20, а на нижнюю добавили 16 книг, книг на обоих полках стало поровну. Сколько книг на каждой полке было первоначально? С РЕШЕНИЯМИ!

Answer 1

На верхне йполке х книг
на нижней 4х книг

х-20=4х+16
-36 = 3х 
х=-12

неправильное условие!!!

Answer 2

Problem Analysis

We are given that there were four times fewer books on the top shelf than on the bottom shelf. After removing 20 books from the top shelf and adding 16 books to the bottom shelf, the number of books on both shelves became equal. We need to determine the initial number of books on each shelf.

Solution

Let's assume that the initial number of books on the bottom shelf is x. Since there were four times fewer books on the top shelf, the initial number of books on the top shelf would be x/4.

After removing 20 books from the top shelf, the number of books on the top shelf becomes (x/4) - 20. After adding 16 books to the bottom shelf, the number of books on the bottom shelf becomes x + 16.

According to the given information, the number of books on both shelves became equal. Therefore, we can set up the following equation:

(x/4) - 20 = x + 16

Let's solve this equation to find the value of x.

Equation Solving

(x/4) - 20 = x + 16

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

x - 80 = 4x + 64

Rearrange the equation:

4x - x = -64 - 80

Simplify:

3x = -144

Divide both sides of the equation by 3:

x = -144/3

Simplify:

x = -48

Since the number of books cannot be negative, we can conclude that there was an error in the given information or the problem statement. Please double-check the problem statement and provide the correct information.

If you have any further questions, please let me know.