На першій полиці було у 5 разів більше
книжок, ніж на другій. Коли з першої полиці
забрали 40 книг, а на другу поклали 24, то на
обох полицях стало порівно книжок. Скільки
книжок було на кожній полиці спочатку?



Answer :

Final answer:

To find the initial number of books on each shelf, set up and solve equations based on the given conditions.


Explanation:

To solve this problem, let's set up equations:

  1. Let x be the original number of books on the second shelf. Therefore, the number of books on the first shelf was 5x.
  2. After the changes, you get two equations:
    • 5x - 40 = x + 24
    • 5x = x + 64
  3. Solving these equations, you find x = 16. So, initially, there were 16 books on the second shelf and 80 books on the first shelf.

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