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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re(2): proposed solution -- higher value

| Comment 3 of 5 |

(In reply to re: proposed solution by Brian Smith)

If A, B, C and D are 1007, 1008, 3 and 1 respectively, the value is

1015056 + 3024 + 3 = 1,018,083

Posted by Charlie on 2019-06-16 21:33:26

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