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Five Friends (Posted on 2014-05-19) Difficulty: 3 of 5
Five friends Andy, Brice, Cal, Danny, and Ethan make the following statements each others' ages.

Andyís statement:
Ethan is 27.

Briceís statement:
I am 81.

Calís statement:
Brice is 61.

Dannyís statements:
1. Andy is 57.
2. What Cal says is false.

Ethanís statements:
1. Brice is older than Andy.
2. Danny is 30 years younger than Cal.

It is known that:
  • None of the friends is younger than 10 or older than 99.
  • Remarks made by anyone 50 or older are true, unless his age is a perfect square.
  • Remarks made by anyone who is under 50 are false, unless his age is a perfect cube.
Determine the age of each of the five friends.

  Submitted by K Sengupta    
Rating: 3.0000 (1 votes)
Solution: (Hide)
Andy - 57
Brice - 64
Cal - 81
Danny - 51
Ethan - 27
For an explanation, refer to the respective solution posted by tomarken and Charlie in the comments.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionsolutionCharlie2014-05-19 11:03:00
SolutionSolutiontomarken2014-05-19 10:08:11
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