SOLUTION: The sum of 12 positive even integers is 46. Some of these integers are equal to each other. Whats the greatest possible value of one of these integers?

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Question 661023: The sum of 12 positive even integers is 46. Some of these integers are equal to each other. Whats the greatest possible value of one of these integers?
Answer by colliefan(242) About Me  (Show Source):
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The greatest possible value for one of them would be obtained if all the others are as small as possible. The smallest positive even integer is 2. If 11 of the 12 numbers are 2, then the remaining number will the the largest possible. If 11 of them are 2, that gives a total of 22 from those 11 numbers. The other number must be 46-22 or 24.