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Current Age Conclusion (Posted on 2013-09-10) Difficulty: 3 of 5
The birthdays of the five friends Al, Ben, Cal, Dan, and Ethan falls on the same day, though they are different ages.

On their mutual birthday, the five friends were discussing their respective current ages. The discussion was as follows:
Dan said to Ben: "I'm nine years older than Ethan."
Ethan said to Ben: "I'm seven years older than Al."
Al said to Ben: "Your age is exactly 1.7 times that of mine."
Ben said to Cal: "Ethan is younger than you."
Cal said to Dan: "The difference between our ages is six years."
Cal said to Al: "I'm ten years older than you."
Cal said to Al: "Ben is younger than Dan."
Ben said to Cal: "The difference between your age and Dan's is the 
same as the difference between Dan's and Ethan's."
It is known that when one of them spoke to someone older, everything they said was true. However, when speaking to someone younger, everything they said was false.

What are the current ages of each person?

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
The required current ages are as follows:
Al     30
Ethan  37
Dan    46
Ben    51
Cal    55
For a detailed explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSalil2013-09-27 08:59:07
SolutionExactly enough info (analytical spoiler)Steve Herman2013-09-10 23:01:58
Some Thoughtsre: Too much Information (analytical spoiler)Steve Herman2013-09-10 22:33:22
Too much Information (analytical spoiler)Steve Herman2013-09-10 21:55:15
SolutionHybrid solution: part computer, then p'n'pCharlie2013-09-10 17:33:12
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