perplexus.info :: Numbers : Near Magic Square Alphametics

Near Magic Square Alphametics (Posted on 2009-07-31)

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
After spreadsheet attempt	brianjn	2009-07-31 21:51:43
computer solution	Charlie	2009-07-31 17:16:22
Revise and extend my remarks...	ed bottemiller	2009-07-31 16:49:39
Encoded grids	ed bottemiller	2009-07-31 14:59:07
Grids / solutions	ed bottemiller	2009-07-31 14:49:29

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