id: 06617773
dt: j
an: 2016e.00008
au: Lanstrum, Michael W.
ti: Revisiting equal sums.
so: Ohio J. Sch. Math. 73, 10-12 (2016).
py: 2016
pu: Ohio Council of Teachers of Mathematics (OCTM), Columbus, Oxford, OH
la: EN
cc: A20 F60 H20
ut: number puzzles; number theory; problem-solving; simultaneous linear
equations; Diophantine equations; arithmetic; elementary algebra;
recreational mathematics
ci:
li:
ab: 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.
rv: