Amos, Bert, and Clem are brothers. It is known that:
- Amos has exactly two brothers with grey eyes.
- Bert has exactly two brothers with grey or hazel eyes.
- Clem has exactly two brothers who do not have blue eyes.
- At least one of the three has hazel eyes and at least one of the three has blue eyes.
Whose eyes do you know the color of?
Let’s suppose that there is indeed a fourth brother – what happens?<o:p></o:p>
From 1 & 4 we can deduce that only one of A, B, & C are
grey, therefore the fourth MUST be grey.<o:p></o:p>
At this point, then we are forced to say that there are two
with grey, one with hazel, and one with blue<o:p></o:p>
From 3, Clem cannot have blue
From 1 Amos cannot have grey
From 2, Bert must have grey or hazel (important!)<o:p></o:p>
Case 1, Bert has grey
Then Clem has hazel and Amos has blue – VALID SOLUTION
Solution 1: Amos – Blue, Bert – Grey,
Clem – Hazel, #4-Grey
<o:p></o:p>
Case 2, Bert has hazel
Then Clem has grey and Amos blue – ALSO VALID SOLUTION
Solution 2: Amos – Blue, Bert – Hazel,
Clem – Grey, #4-Grey<o:p></o:p>
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Posted by Kenny M
on 2022-07-21 14:43:56 |
What if?
