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A Six Inhabitants Problem (Posted on 2007-02-14) Difficulty: 3 of 5
Six inhabitants A, B, C, D, E, and F of an island are discussing their respective ages. Each one is either a Knight or a Liar, over 18 but under 70 years of age, and the sum of their ages is 261.

A person 40 years old or older is a knight, unless his age is a multiple of 17, and then he is a liar. A person under 40 is a liar, unless his age is a multiple of 13, and then he is a knight.

The six say:

A's Statement:
1. E is older than I am.

B's Statement:
1. A is 30 years younger than C.

C's Statement:
1. I am 51.

D's Statements:
1. C is 52.
2. I am not 29.

E's Statements:
1. A is a Liar.
2. F's age is not less than 40 years.

F's Statements:
1. D is a Liar.
2. B is 39.

Determine the ages of each of the inhabitants from the above statements.

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolAndre2010-05-28 18:06:42
solutionhoodat2007-02-15 13:40:16
re: PossibleK Sengupta2007-02-15 01:27:03
Some ThoughtsPossibleCharleyA.2007-02-14 22:59:53
SolutionGeorge2007-02-14 19:05:38
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