perplexus.info :: Just Math : A four number puzzle

A four number puzzle (Posted on 2019-06-15)

A, B, C, and D are four positive integers whose sum is 2019. What are the largest and smallest values that A*B+B*C+C*D can be?

See The Solution Submitted by Brian Smith

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proposed solution

| Comment 1 of 5

I used the principle of dispersal for max and clustering for min.

(A,B,C,D)=(505,505,505,504) evaluates to 764570.

(A,B,C,D)=(1,1,1,2016) evaluates to 2018.

Posted by xdog on 2019-06-16 08:46:45

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