
06617773
j
2016e.00008
Lanstrum, Michael W.
Revisiting equal sums.
Ohio J. Sch. Math. 73, 1012 (2016).
2016
Ohio Council of Teachers of Mathematics (OCTM), Columbus, Oxford, OH
EN
A20
F60
H20
number puzzles
number theory
problemsolving
simultaneous linear equations
Diophantine equations
arithmetic
elementary algebra
recreational mathematics
Summary: This article revisits the Equal Sums problem and considers all possible solutions. Depending on the row/column total, various solutions are possible. Sometimes the value of $E$ is unique, sometimes $E$ is not, and in other cases a value of $E$ is not possible. Looking at all possible row/column totals, surprisingly there is only one value that $E$ cannot represent.