Gorbachev A.n.

Two KVN teams are participating in a game consisting of four contests. For each contest, each of the six judges gives a score - an integer from 1 to 5; the computer calculates the average of the scores for the contest and rounds it to the nearest tenth. The winner is determined by the sum of the four values obtained by the computer. Can it happen that the total of all scores given by the judges to the losing team is greater than that of the winning team?
Let the judges' scores for the first team for the first three competitions be (333334), and for the fourth (334444). For the second team, the scores for all competitions are (333344). The values obtained by the computer for the first team are 3.2; 3.2; 3.2; 3.7. The values obtained for the second team are 3.3; 3.3; 3.3; 3.3. The first team won with a score of $13.3: 13.2$. Meanwhile, the sum of the scores given by the judges to the first team is 79, and to the second team is 80.

## Answer

It can.