Question

На верхней полке было вдвое больше книг,чем на нижней.После того,как с нижней полки переставили на верхнюю книги,на нижней полке осталось в 5 раз меньше,чем стало на верхней.Сколькло было первоначально? Решите,умоляю（○゜ε＾○）

Answer 1

2х книг было на верхней полке; х книг - на нижней. Уравнение:
(х - 4) * 5 = 2х + 4
5х - 20 = 2х + 4
5х - 2х = 4 + 20
3х = 24
х = 24 : 3
х = 8 (книг) -  было на нижней полке
2 * 8 = 16 (книг) - было на верхней полке
Проверка: (8 - 4) * 5 = 16 + 4
                   4 * 5 = 20
                   20 = 20 
Ответ: 16 книг на верхней полке и 8 книг на нижней

Answer 2

Problem Analysis

Let's break down the problem step by step:

1. Initially, there were twice as many books on the top shelf as on the bottom shelf. 2. After moving the books from the bottom shelf to the top shelf, there were 5 times fewer books on the bottom shelf than on the top shelf.

We need to determine the initial number of books on both shelves.

Solution

Let's assume the number of books on the bottom shelf is x. According to the problem, the number of books on the top shelf is twice that, so it would be 2x.

After moving the books from the bottom shelf to the top shelf, the number of books on the bottom shelf becomes 5 times smaller than the number of books on the top shelf. So, the new number of books on the bottom shelf is (2x)/5.

To find the initial number of books, we need to solve the equation:

(2x)/5 = x

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

(2x)/5 = x

Multiplying both sides by 5:

2x = 5x

Subtracting 2x from both sides:

0 = 3x

Dividing both sides by 3:

x = 0

According to the equation, the initial number of books on the bottom shelf is 0. Since there were twice as many books on the top shelf, the initial number of books on the top shelf is also 0.

Therefore, the initial number of books on both shelves was 0.

Please let me know if I can help you with anything else.