Difference Between Weight of 3 Boxes

There are three different boxes A,B and C. Difference between
weights of A and B is 3 kgs. And between B and C is 5 kgs. Then what
is the maximum sum of the differences of all possible combinations
when two boxes are taken each time.

johnumman
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Nov 10th, 2010
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Naveen Nelavelli
Profile Answers by Naveen Nelavelli

Nov 13th, 2010

Let us consider the weight of box A is x
differance b/w A and B box weights is 3 so
   B weight =x+3
diffe b/w B&C is 5 so

C weight = x+3+5
                 =x+8
one more combination is
diff b/w A&C =x+8-x
                    =8
so sum = dif A&B+dif B&C+dif C&A=3+8+5=16