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Near Magic Square Alphametics (Posted on 2009-07-31) Difficulty: 3 of 5
In this 4x4 grid, each of the capital letters in bold represents a different base ten digit from 0 to 9, such that the sum of each of the four columns as well as the sum of each of the four rows is ET.

E   L   M   S
R   E   I   N
A   N  T   I
S   T   E   P

Determine the respective minimum value and the maximum value of ET.

Note: ET is equal to 10*E+ T.

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
There are six possible assignments resulting in three distinct values for ET. The minimum value of ET is 14 and the maximum value of ET is 16.

For a more detailed explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAfter spreadsheet attemptbrianjn2009-07-31 21:51:43
Solutioncomputer solutionCharlie2009-07-31 17:16:22
Revise and extend my remarks...ed bottemiller2009-07-31 16:49:39
Encoded gridsed bottemiller2009-07-31 14:59:07
Grids / solutionsed bottemiller2009-07-31 14:49:29
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