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0 sats \ 5 replies \ @Fiat_Revelation 27 Nov \ on: [Logic Puzzle] The Riddler's Challenge science
I think it's 50.
Batman would know in theory 10 or 50 are possible, but has no way of being certain until the other two also declare that they don't know.
If it were 10, then Robin would look and see 10 and 30, meaning he also has no say of knowing his number (it could be 40 or 20). Alfred would look and see 10 and 20, meaning he would be able to guess his number correctly. Alfred would know the options for his number are 10 or 30 (since 10+10=20 and 10+20=30). He would know it can't be 10 because Riddler implied there were three integers. In this case, Alfred would know his is 30.
Since Batman trusts when Alfred says he doesnt know, he can therefore rule out 10 from being his own number. He then knows it's 50.
Oooh, this is very close, but it's not quite accurate of an explanation. Riddler didn't say that the three integers had to be unique.
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OK I'm back.
Alfred would have known his isn't 10, because if it were and so were batman's, then Robin would be able to deduce his is 20. This is because he sees 10 and 10. He knows 20-10=10 is not valid because Riddler wants only positive numbers.
If Batman is 10, then Alfred knows his number.
Batman is 50
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Good job!
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Ok, this makes sense.
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I hope I didn't destroy Gotham
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