Answer:
The Greatest possible value of one of the integer is 140.
Step-by-step explanation:
Given:  The average (arithmetic mean) of five different positive integers is 30.
To find:  What is the greatest possible value of one of these integers? 
Explanation: we are given that the arithmetic mean of five  positive integer
                    is 30.
Let the five positive integers are A,B,C,D,E
The arithmetic mean : 
                     =30.
 =30.
On multiplying both side by 5.
                        A+B+C+D+E =150.
The least values of A ,B,C and D can be 1 ,2,3,4.
   Then :  1 +2+3+4+E =150
On simplification  10+E =150
On subtraction both side by 10 we get
                       E = 140 .
Therefore, the Greatest possible value of one of the integer is 140.