Enigma 1317: Eight times
13 June 2014
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From New Scientist #2475, 27th November 2004
I invite you to find a 5-digit number consisting of five different digits (not starting with zero) which when multiplied by 8 produces another 5-digit number consisting of the other 5 digits; in addition the sum of the digits of your 5-digit number must be greater than the sum of the digits of the product.
Which 5-digit number have you found? (Remember that the answer required as the number as it was before the multiplication).