(related to Problem: The Nine Treasure Boxes)

Here is the answer that fulfils the conditions:— $A = 4$, $B = 3,364$, $C = 6,724$, $D = 2,116$, $E = 5,476$, $F = 8,836$, $G = 9,409$, $H = 12,769$, $I = 16,129$.

Each of these is a square number, the roots, taken in alphabetical order, being $2,$ $58,$ $82,$ $46,$ $74,$ $94,$ $97,$ $113,$ and $127,$ while the required difference between $A$ and $B,$ $B$ and $C,$ $D$ and $E.$ etc., is in every case $3,360.$

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Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

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