Enigma 186: Cereal numbers
24 April 2014
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From New Scientist #1331, 11th November 1982 [link]
No morning papers — hence a glassy rumination of my Honeyed Weety Fingees, contents and package both. Slowly, the significance of four crude over-printed stock numbers percolated my abstractions.
The numbers each had the same number of digits. The smallest plus the next-to smallest numbers summed to another of the numbers; the total was identical to the smallest number except that the order of the digits was exactly reversed. Adding the smallest number to the total just obtained produced a new total which was one of the two numerical palindromes featured in the group.
But for two exceptions, the digits 1 to 9 were all evident, but 0 was not. I noticed at least two digits which each appeared four times within the group, all other digits appeared just twice each.
What was the highest number within the group?