If you knew what I knew鈥�
I played a little logical game with my two highly intelligent godsons, Proddy and Addy. I had in mind three different digits chosen from 1 to 8 and I whispered the product of the three to Proddy and the sum of the three to Addy. I explained all this to them and our conversation then went as follows:
Me: 鈥淧roddy, can you now work out what my three numbers are?鈥�
Proddy: 鈥淣辞.鈥�
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Me: 鈥淣ow do you think that Addy will be able to work out what my numbers are?鈥�
Proddy: 鈥淣o, he will not be able to work them out.鈥�
Addy: 鈥淣ow I know what the numbers are!鈥�
What are they?
WIN 拢15 will be awarded to the sender of the first correct answer opened on Wednesday 3 March. The Editor鈥檚 decision is final. Please send entries to Enigma 1580, New Scientist, Lacon House, 84 Theobald鈥檚 Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).
Answer to 1574 Doubly square date: The two dates are 12 April 2009 and 4 December 2009
The winner Geoff Stone of North Bayswater, Victoria, Australia
