Enigma 1200: Nine times
28 September 2015
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From New Scientist #2356, 17th August 2002 [link]
Harry, Tom and I were trying to find a five-digit number consisting of five different digits that when we multiplied it by 9 we created another five-digit number consisting of the other five digits.
We each found a different number of this type, but the numbers that Harry and Tom found each used the same five digits.
Which five-digit number did I find? (Remember that the answer required is the number as it was before multiplication).
See also Enigma 1317.