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$\begingroup$ Wait, so why can it not be 100 instead of 50? 75+25=100 which is still the sum of the other numbers. Next time, try to hide your answer in spoilers using >! $\endgroup$

user28947
– user28947

2016-08-23 22:43:16 +00:00
Commented Aug 23, 2016 at 22:43
4

$\begingroup$ Not only is your answer not right; it’s wrong. Even before the first and second person spoke, the third person would see that they have $25$ and $50$ on their foreheads, and so he would think, “I must have either $75~(25+50)$ or $25~(50-25)$ on my forehead. But I can’t have $25$ on my head, because the first person has $25$ and we all have different numbers. So I must have $75$.” So he would know the number on his forehead when he was asked. $\endgroup$

Peregrine Rook
– Peregrine Rook

2016-08-24 03:05:34 +00:00
Commented Aug 24, 2016 at 3:05

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