Question 122
Capablanca and Alyokhin decided to play a match of 16 games according to the following rules. The winner of the first game received $1 = 3^0$ peso, the winner of the second one got $3 = 3^1$ peso, the winner of the third game received $9 = 3^2$ peso and so on.
If the game ended in a draw, then they split the prize pool of the game in half. It turned out that at the end of the match, Alyokhin earned 2018 pesos more than Capablanca. How many games has each of the players won?
If the game ended in a draw, then they split the prize pool of the game in half. It turned out that at the end of the match, Alyokhin earned 2018 pesos more than Capablanca. How many games has each of the players won?