Question

На одной полке в 5 раз больше книг,чем во второй. После того как с первой полки переложили на вторую 12 книг,на полке стало поровну. Сколько книг было первоначально на каждой полке?

Answer 1

Х книг - на второй полке, тогда на первой полке 5х книг,
5*х-12=х+12
4х=24, х=6
Ответ: на первой полке 30 книг, на второй полке 6 книг

Answer 2

Problem Analysis

We are given two shelves, and the number of books on the first shelf is five times greater than the number of books on the second shelf. After transferring 12 books from the first shelf to the second shelf, the number of books on both shelves becomes equal. We need to determine the initial number of books on each shelf.

Solution

Let's assume the number of books on the second shelf is x. According to the problem, the number of books on the first shelf is five times greater than the number of books on the second shelf, so the number of books on the first shelf is 5x.

After transferring 12 books from the first shelf to the second shelf, the number of books on both shelves becomes equal. This can be expressed as the equation:

5x - 12 = x + 12

Simplifying the equation, we get:

4x = 24

Dividing both sides of the equation by 4, we find:

x = 6

Therefore, the initial number of books on the second shelf is 6, and the initial number of books on the first shelf is 5 times greater, which is 30.

So, there were initially 30 books on the first shelf and 6 books on the second shelf.

Answer

The initial number of books on each shelf was 30 on the first shelf and 6 on the second shelf.