Enigma 1257: Boxing clever
8 February 2015
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From New Scientist #2413, 20th September 2003 [link]
Triangulo, the world-famous Cuban cubist, has created five boxes, each of which contains a number of cubes of the same colour, but with a different colour in each box.
At a master class, he tries to construct a particular size of cube using all the cubes from just two boxes. But whichever pair he selects, he finds that at least one pair has too many pieces and all the other pairs have too few.
Each different pair of boxes gives a different total of cubes and the largest total is 10 more than the smallest.
With a stoke of genius, using all the cubes together, he creates instead a flat square, multi-coloured masterpiece!
How many cubes (in ascending order) are there in each box?
This puzzle is Enigma 1257 and the previous puzzle I published was Enigma 256, so there are now 1,000 puzzles left to publish (ignoring for the moment that sometimes multiple puzzles are published under the same number, and that I’ve already published Enigma 1095). Which means just under 44% of all Enigma puzzles are now available on the site.