Question

Решить задачу. на 3х полках лежит 158 книг. как разложить их так ,чтобы на 1ой было на 8 книг меньше ,чем на 2 и на 6 книг больше чем на третей?

Answer 1

X+x+8+x-6=158
3x+2=158
3x=156
x=52
1-aя полка - 52
2-ая полка - 60
3-яя полка - 46

Answer 2

Solving the Book Distribution Problem

To solve the problem of distributing 158 books across three shelves in a way that the first shelf has 8 books fewer than the second shelf and 6 books more than the third shelf, we can use a simple algebraic approach.

Let's denote the number of books on the second shelf as x. Then, the number of books on the first shelf would be x - 8, and the number of books on the third shelf would be x + 6.

We know that the total number of books is 158, so we can create the following equation: x + (x - 8) + (x + 6) = 158

Solving for x will give us the number of books on the second shelf, and then we can calculate the number of books on the other shelves.

Calculating the Number of Books on Each Shelf

Let's solve the equation to find the number of books on each shelf:

3x - 2 = 158

3x = 160

x = 53.33

Since the number of books must be a whole number, we can conclude that this setup is not possible with the given constraints.

Therefore, it's not possible to distribute the 158 books across the three shelves in a way that satisfies the given conditions.

If you have any other questions or need further assistance, feel free to ask!