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 to Addy. I explained all this to them and our conversation went as follows:
Me: “Proddy, can you now work out what my three numbers are?”
Me: “Now do you think that Addy will be able to work out what my numbers are?”
Proddy: “No, he will not be able to work them out.”
Addy: “Now I know what the numbers are.”
What are they?
Credit due to Aunt Susan Denham.
(In reply to Two possibilities (spoiler?)
by Steve Herman)
In both of your solutions Addy knows the answer on the basis of the answer to the first question. There are two solutions, so Addy shouldn't say that he got the numbers.
The second question is intended to give new information to esclude the solutions based on the first question. The information is saying that also for Proddy it seems that Addy ie not going to get the numbers. But Proddy is wrong in that, as Addy gets them.
Posted by armando
on 2017-12-10 03:47:08