Question

На верхней полке в два раза больше книг чем на нижней если 8 книг с верхней полки переложили на нижнюю то книг станет поровну сколько книг на каждой полке

Answer 1

Если на нижней полке х книг, то на верхней 2х книг.
Если с верхней убрать8 книг, то там останется 2х-8, а на нижнюю положить, то там станет х+8 книг. Составим уравнение:
2х-8=х+8
х=16(кн.) - на нижней полке
16*2=32(кн.) - на верхней полке

Answer 2

X-книг на нижней полке
на верхней 2x-в два раза больше
составим уравнение
2x-8=x
x=8-на нижней полке
2*8=16 книг на верхней полке

Answer 3

Solving the Bookshelf Problem

To solve the bookshelf problem, we can follow these steps:

1. Set up the initial situation: - Let's assume that the number of books on the lower shelf is represented by x. - Since the number of books on the upper shelf is twice the number on the lower shelf, it can be represented as 2x.

2. Perform the given operation: - According to the problem, if 8 books from the upper shelf are moved to the lower shelf, the number of books on both shelves will be equal. - This can be represented as the equation: 2x - 8 = x + 8.

3. Solve for x: - By solving the equation 2x - 8 = x + 8, we can find the value of x.

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

Solving the Equation

The equation to solve is: 2x - 8 = x + 8.

Subtracting x from both sides gives: x - 8 = 8.

Adding 8 to both sides gives: x = 16.

So, the number of books on the lower shelf is 16.

Conclusion

After solving the equation, we find that there are 16 books on the lower shelf and 32 books on the upper shelf initially.