perplexus.info :: Just Math : Prime Mean

Prime Mean (Posted on 2013-04-17)

At the end of a soccer season, every player on a team scored a prime number of goals, and the average for the team as a whole was also a prime number. No player’s tally was equal to another’s, and no player’s tally was the same as the average.

Given that nobody scored more than 45 goals, how many goals did each player score?

*** There are 11 players in a soccer team.

Submitted by K Sengupta

Rating: 4.2500 (4 votes)

Solution: (Hide)

The required scores are: {5,7,11,13,17,19,29,31,37,41,43}, that is:all the primes under 45 except for 2, 3 and 23.
For an explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
A shortcut	Steve Herman	2013-04-18 13:09:53
answer	Dej Mar	2013-04-17 13:21:32
the computer method	Charlie	2013-04-17 12:37:57
re: possible solution	Ady TZIDON	2013-04-17 12:01:29
possible solution	broll	2013-04-17 10:46:10

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