Question

На двух полках было одинаковое колличество книг когда взяли с 1 полке 3 книги а со второй 14 то на первой стало в 2 раза больше книг чем на 2 сколько книг было

Answer 1

25
1 полка: 25-3=22
2 полка:25-14=11
В 2 раза 11 меньше 22

Answer 2

Х книг было на каждой полке
2(х-14)=х-3
2х-28=х-3
2х-х=28-3
х=25 (книг) на каждой полке
25*2=50 (книг)
Ответ: всего 50 книг

Answer 3

Problem Analysis

We have two shelves with an equal number of books. When we take 3 books from the first shelf and 14 books from the second shelf, the number of books on the first shelf becomes twice the number of books on the second shelf. We need to find the initial number of books on each shelf.

Solution

Let's assume the initial number of books on each shelf is x.

According to the given information, when we take 3 books from the first shelf, the number of books on the first shelf becomes x - 3. Similarly, when we take 14 books from the second shelf, the number of books on the second shelf becomes x - 14.

We are also given that the number of books on the first shelf becomes twice the number of books on the second shelf. So, we can write the following equation:

x - 3 = 2(x - 14)

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

x - 3 = 2x - 28

28 - 3 = 2x - x

25 = x

Therefore, the initial number of books on each shelf was 25.

Answer

The initial number of books on each shelf was 25.