There are six different 6digit positive integers that add up to a seventh 6digit integer. Interestingly, all seven of these numbers consist of combinations of only two different digits. That is, only two different digits are used to write the complete set of seven numbersthe same two digits in each number.
So far you can't deduce what the numbers are, but if I were to tell you that seventh number, that is, the total, you'd know what the other six numbers were that made up that total.
What are the seven numbers?
From Enigma No. 1702, "All the sixes",by Ian Kay, New Scientist, 16 June 2012, page 32.
(In reply to
re(3): solution WRONG by Ady TZIDON)
I find DejMar's arithmetic correct in his second post. The only problem is that other sets of six 6digit numbers containing only 1's and 8's produce the same total.

Posted by Charlie
on 20120812 23:55:33 