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(164) 1

Part of 1988 Tournament Of Towns

Problems(1)

TOT 164 1988 Spring Train J1 20 marks in 20 times in school

Source:

4/25/2020
In January Kolya and Vasya have been assessed at school 2020 times and each has been given 2020 marks (each being an integer no greater than 55 , with both Kolya and Vasya receiving at least twos on each occasion). Kolya has been given as many fives as Vasya fours, as many fours as Vasya threes, as many threes as Vasya twos and as many twos as Vasya fives. If each has the same average mark , determine how many twos were given to Kolya.
(S . Fomin, Leningrad)
combinatoricsalgebra