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 Sixes and Sevens--Not! (Posted on 2012-08-12)
There are six different 6-digit positive integers that add up to a seventh 6-digit 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 numbers--the 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.

 See The Solution Submitted by Charlie Rating: 5.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 The text is not always perfect | Comment 24 of 33 |

The fact that  the text, although improved by Charlie, comes from "New Scientist"'s Enigma  does not make it immune from my revision and appropriate conclusions.

And again, I LIKE THIS PROBLEM.

 Posted by Ady TZIDON on 2012-08-13 14:44:05

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