Each of the 11 players on the Prime Time soccer team was identified by a different prime number less than 45 on his jersey. The average of those primes was also a prime different from each of those of the players. What were the players' identifying numbers?
The primes from 1 to 45 are listed and 11 * one of these primes is the sum of the 11 team members' jerseys.
The highest possible sum is 271 and the lowest possible sum is 160. Thus we can deduce that the average of all the members is either 17, 19 or 23.
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Posted by Andre
on 2009-02-19 12:12:13 |
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