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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?

 Apr 19, 2020
 #1
avatar+20810 
+1

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.

 Apr 19, 2020

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