SOLUTION: If the average (arithmetic mean)of three different positive integers is 60, what is the greatest possible value of one of the integers?

Question 276506: If the average (arithmetic mean)of three different positive integers is 60, what is the greatest possible value of one of the integers?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let A,B,and C be the integers.
Since they are positive, then the minimum A could be is,

Since they are different, then the minimum B could be is,

Then from the average,
or

Substituting,

The greatest value for one of the integers would be 177.
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