Enigma 1743: Order, order!
3 April 2013
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From New Scientist #2911, 6th April 2013 [link]
I have written down a list of four positive whole numbers in increasing order. They are all less than 100, and no two of them have a common factor greater than 1. If I write the numbers in words, then each begins with a different letter of the alphabet and my list is also in alphabetical order. If I tripled the numbers, then the answers would be in reverse alphabetical order when written in words. If I then doubled those answers, the resulting numbers, when written in words, would be in alphabetical order once again.
What is my list of numbers?
Enigma 1388 is also called “Order, order!”