Question

Никифор с Данилой играют в бабки. Сначала Никифор проиграл Даниле половину своих бабок. Потом Данила проиграл Никифору половину бабок. В итоге у Никифора стало 15 бабок, а у Данилы - 8. Сколько бабок было у каждого вначале игры?

Answer 1

1)15-8=7(бабок)-бабки у Никифора перед тем как Данила проиграл половину бабок.
2)8+8=16(бабок)-бабки у Данила перед тем как он проиграл Никифору половину.
3)16-7=9(бабок)-у Данилы в начале
4)7+7=14(бабок)-у Никифора вначале.

Answer 2

Babki Game: Initial Counts

Nikifor and Danila played a game of "babki" where Nikifor initially lost half of his babki to Danila, and then Danila lost half of his babki to Nikifor. In the end, Nikifor had 15 babki, and Danila had 8. We need to find out how many babki each of them had at the beginning of the game.

Let's denote the initial number of babki Nikifor had as N and the initial number of babki Danila had as D.

Calculating the Initial Counts

1. Nikifor initially lost half of his babki to Danila: - After this, Nikifor had N - N/2 babki, and Danila had D + N/2 babki.

2. Then, Danila lost half of his babki to Nikifor: - After this, Nikifor had N - N/2 + (D + N/2)/2 babki, and Danila had D + N/2 - (D + N/2)/2 babki.

Solving for the Initial Counts

Given that in the end Nikifor had 15 babki and Danila had 8, we can set up the following equations: - N - N/2 + (D + N/2)/2 = 15 - D + N/2 - (D + N/2)/2 = 8

Solving these equations will give us the initial counts of babki for Nikifor and Danila.

Let's proceed with the calculations.