Question

На одной полке было в 3 раза больше книг, чем на другой . Когда с одной полки сняли 8 книг ,а на другую положили 32 книги, то на полках стало книг. Сколько книг было на каждой полке первоначально? полки С ПРОВЕРКОЙ УРАВНЕНИЯ ПЖЖЖ ДАМ 100Б

Answer 1

решение смотреть на фото! надеюсь всё решил правильно

Answer 2

Problem Analysis

We are given two shelves with books, and the number of books on one shelf is three times the number of books on the other shelf. We are also given that when 8 books are removed from one shelf and 32 books are added to the other shelf, the total number of books on both shelves becomes equal. We need to find the initial number of books on each shelf.

Solution

Let's assume the number of books on one shelf is x. According to the problem, the number of books on the other shelf is three times that, so it would be 3x.

When 8 books are removed from one shelf, the number of books on that shelf becomes x - 8. And when 32 books are added to the other shelf, the number of books on that shelf becomes 3x + 32.

The total number of books on both shelves is given as the sum of the number of books on each shelf. So we can write the equation:

(x - 8) + (3x + 32) = x + 3x

Now we can solve this equation to find the value of x.

Solving the Equation

Expanding the equation, we get:

x - 8 + 3x + 32 = x + 3x

Combining like terms, we get:

4x + 24 = 4x

Subtracting 4x from both sides, we get:

24 = 0

This equation has no solution, which means there is no valid solution for the given problem. It seems there is an error in the problem statement or the given information.

Please double-check the problem statement or provide additional information if available.