Enigma 1449: All in order
19 March 2013
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From New Scientist #2610, 30th June 2007
I wrote six non-zero consecutive digits on separate cards and gave two cards each to ‘Arry, Barry and Carrie. Each of them used their two digits to form a two-figure number, and then they multiplied together the three two-figure numbers.
When I asked them what the answer was they simply spelled it out by placing the six cards in a particular order.
With a little threesome logic – and far fewer multiplications than you might expect – it is possible to work out what their three two-figure numbers were.
What, in increasing order, were they?