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?

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) (Show Source): You can put this solution on YOUR website!
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.
RELATED QUESTIONS
The sum of ten positive odd integers is 22. Some of these integers are equal to each... (answered by Edwin McCravy)

The sum of three consecutive even integers is less than 75. What are the greatest... (answered by CubeyThePenguin)

Five times the greatest of three consecutive even integers is equal to twice the sum of... (answered by elima)

The sum of four consecutive even integers is less than or equal to 116 . find the... (answered by Alan3354,Boreal)

Find the greatest possible pair of integers such that one integer is twice the other and... (answered by Theo)

The sum of two consecutive even integers is at most 30. What are the greatest possible... (answered by Gogonati)

The sum of two consecutive even integers is at most 30. What are the greatest possible... (answered by oberobic)

the sum of two even consecutive integers is at most 32. what are the greatest possible... (answered by CubeyThePenguin)

The sum of four consecutive even integers is equal to seven times the first integer? What (answered by ReadingBoosters)