Determine a list of eight positive integers (not necessarily distinct) such that summing seven of them in all eight possible ways generates only seven distinct results: 418, 420, 423, 424, 426, 428 and 429.

I wish to acknowledge the solutions  of Leming and Ady TZIDON, each of whose methodologies, albeit distinct, culminated in the same final answer.

Posted by K Sengupta on 2006-08-31 03:09:31