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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: ( You must be logged in to post comments.)
  Subject Author Date
re(8): IMHO - STILL REDUNDANTAdy TZIDON2012-08-15 18:42:37
re(7): IMHO - STILL REDUNDANTCharlie2012-08-15 17:20:23
Some Thoughtsre(6): IMHO - STILL REDUNDANTAdy TZIDON2012-08-15 14:49:31
re(5): IMHO - STILL REDUNDANTCharlie2012-08-15 12:49:22
Questionre(4): IMHO - STILL REDUNDANTAdy TZIDON2012-08-15 10:48:46
Solutionre(4): IMHO - STILL REDUNDANTAdy TZIDON2012-08-14 03:14:25
Popular puzzleMath Man2012-08-13 20:36:07
Questionre(3): IMHO - STILL REDUNDANTCharlie2012-08-13 17:10:26
re(2): IMHO - STILL REDUNDANTAdy TZIDON2012-08-13 16:59:30
Some ThoughtsThe text is not always perfectAdy TZIDON2012-08-13 14:44:05
Solutionre(2): IMHO - STILL REDUNDANTAdy TZIDON2012-08-13 14:36:41
re: IMHO - STILL REDUNDANTChris, PhD2012-08-13 09:36:31
Some ThoughtsIMHO - STILL REDUNDANTAdy TZIDON2012-08-13 08:31:34
SolutionExplanation of Solution as promisedChris, PhD2012-08-13 05:36:06
Some Thoughtsre(2): No SubjectAdy TZIDON2012-08-13 04:05:58
re: No SubjectChris, PhD2012-08-13 02:04:27
SolutionSolutionChris, PhD2012-08-13 02:00:05
Hints/Tipsre(2): Numbers involved remarksAdy TZIDON2012-08-13 01:53:54
Some ThoughtsNICE PROBLEM- few rematksAdy TZIDON2012-08-13 01:39:23
SolutionNo SubjectAdy TZIDON2012-08-13 01:28:10
Hints/Tipsre: Numbers involvedChris, PhD2012-08-13 00:57:45
Hints/TipsNumbers involvedChris, PhD2012-08-13 00:06:27
re: No SubjectCharlie2012-08-13 00:05:57
re(4): solution WRONGCharlie2012-08-12 23:55:33
SolutionNo SubjectAdy TZIDON2012-08-12 23:54:41
re: To lead or notCharlie2012-08-12 23:49:56
Hints/Tipsre(3): solution WRONGAdy TZIDON2012-08-12 23:48:30
re(3): solutionCharlie2012-08-12 23:46:04
re(2): solutionDej Mar2012-08-12 21:57:26
SolutionTo lead or notbrianjn2012-08-12 21:05:11
Hints/Tipsre: solutionAdy TZIDON2012-08-12 12:26:21
re: solutionKenny M2012-08-12 12:12:08
SolutionsolutionDej Mar2012-08-12 11:38:57
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