A magician told his friend(X) that he will do a magic trick and gave X 3 cards with 5 distinct non-negative integers written on each card. X was asked to choose a number from each card and tell the sum of the 3 chosen numbers to him. For every possible sum X told him, he answered all the 3 chosen numbers correctly. If you sum all these possible sums, what is the minimum value it can take?
Note: The integers on a card are distinct but integers on two different cards may not be distinct.
(In reply to
soln by Steven Lord)
How one wishes that Praneeth was an active member at present!
This would have made a great official solution!!
Alas! Praneeth left Perplexus.info as an active member 3373 days before.
Edited on December 21, 2022, 1:18 am
re: soln
