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Sunday Times Teaser 2537 – Odds and Evens

by Victor Bryant

Published: 8 May 2011 (link)

     E  E   E
     O  O  O
   
  E  E  E  E  E
   E  O  E  E
   O  O  O  E
 O  E  O  O  E

I have taken two three-figure numbers and multiplied them together by long multiplication. On the right are my workings, but with O marking the positions of the odd digits and E the even digits:

What are the two three-figure numbers?

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