
На второй полке в 4 раза больше книг чем на первой когда на 1 полку поставили еще 35 книг а со
второй 25 книг на обеих полках книг стало поровну Сколько книг на каждой полке первоначально

Ответы на вопрос




Problem Analysis
We are given that there are four times as many books on the second shelf as on the first shelf. After adding 35 books to the first shelf and 25 books to the second shelf, the total number of books on both shelves is equal. We need to find the initial number of books on each shelf.
Solution
Let's assume the initial number of books on the first shelf is x. Since there are four times as many books on the second shelf, the initial number of books on the second shelf is 4x.
After adding 35 books to the first shelf, the number of books becomes x + 35. After adding 25 books to the second shelf, the number of books becomes 4x + 25.
According to the given information, the total number of books on both shelves is equal. Therefore, we can set up the following equation:
x + 35 = 4x + 25
Now, let's solve this equation to find the value of x.
x + 35 = 4x + 25
35 - 25 = 4x - x
10 = 3x
x = 10/3
Since the number of books must be a whole number, we can round x to the nearest whole number. Therefore, the initial number of books on the first shelf is 3.
The initial number of books on the second shelf is four times the number on the first shelf, so it is 4 * 3 = 12.
Answer
The initial number of books on the first shelf is 3, and the initial number of books on the second shelf is 12.


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