Finding All Solutions to a Puzzle

The non-zero digits can be organized into a 3-by-3 array such that each row, rneach column, and each diagonal adds up to the same total. How many solutions rnare there? Find and describe them.

Author(s):

Ted Bainbridge, Ph.D.

Date Accepted: 2015-03-24 Grade Group: High School (9-12) Benchmarks: M1.4.2 M1.4.7 M1.4.8 M8.4.9 M8.4.12 M8.4.13 M8.4.15 M9.4.7 Keywords: algebra equations systems of equations numeric puzzle digits array Microsoft Word: 08_21_14_1.docx PDF Document: 08_21_14_1_2.pdf

Author Notes

Instead of merely solving a numeric puzzle by trial and error; shows how to find how many solutions exist, what they are, and to describe and categorize them.

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