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These problems are from a very large set of questions about Liars who always lie about everything, and Knights who always tell the truth. Some questions also involve Knaves - people who strictly alternate between lying and telling the truth. (They are of course all indistinguishable from one another by outward appearance, and you must use logic to determine who's who.)
Difficulty: 3 of 5 Latest: Lies, truth, and logic Rating: 1.00
A,B,C,D & E- 5 persons of different ages - share the same birthday date.
Overheard at their joint birthday party:

A said to B: I'm nine years older than E
A said to B: Your age is exactly 70% greater than mine.
B said to C: E is younger than you.
C said to D: The difference between our ages is six years.
C said to A: I'm ten years older than you.
C said to A: B is younger than D.
B said to C: "The difference between your age and D is the same as the difference between D and E.
They were not always telling the truth.
Whenever one of them spoke to someone older, everything they said was true,- but when speaking to someone younger, everything they said was false.

and their ages were:

(No Solution Yet, 2 Comments) Submitted on 2017-02-09 by Ady TZIDON   
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