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Sixes and Sevens--Not! (Posted on 2012-08-12) Difficulty: 4 of 5
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.)
re: To lead or not | Comment 8 of 33 |
(In reply to To lead or not by brianjn)

I apologize. I should have said six different 6-digit numbers. I've made the correction to the puzzle and so it now so states.

The leading-zero solutions are, as you inferred, not to be allowed.


  Posted by Charlie on 2012-08-12 23:49:56
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