SOLUTION: The average of seven different non-negative integers is 7. What is the largest possible value of any of these numbers?

Question 255606: The average of seven different non-negative integers is 7. What is the largest
possible value of any of these numbers?
Found 2 solutions by stanbon, drk:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The average of seven different non-negative integers is 7. What is the largest
possible value of any of these numbers?
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The sum of all the numbers is 7*7 = 49
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IF the numbers are all non-negative and
each is an integer, the largest possible
number would be 43
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One such pattern would be 1,1,1,1,1,1,43
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Cheers,
Stan H.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
The sum of 7 non negative numbers must be 49 if the average of 7 is 7. Suppose you start at 1. We have 1, 2, 3, 4, 5, 6. Now we need to sum to 49. We have 21 right now, so we need another 28.
The seven numbers are:
1, 2, 3, 4, 5, 6, and 28.
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