The average of four different positive whole numbers is 4 If the difference between the
largest and smallest of these numbers is as large as possible, what is the average of the
other two numbers?
You have four different whole numbers: a, b, c, and d
The average is 4; so (a + b + c + d) / 4 = 4
This means that a + b + c + d = 16
To get the largest difference between a and d, make a as small as possible: a = 1
Then: b + c + d = 15
To get d to be as large as possible, make b and c to be as small as possible: b = 2 and c = 3
The average of b and c is 2.5.