All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Logic
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?

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: Too much Information (analytical spoiler) | Comment 3 of 5 |
(In reply to Too much Information (analytical spoiler) by Steve Herman)

Or maybe I need all the statements.  While my solution agrees with Charlie's, I notice that I made a mistake in my 5th step.  Back to the drawing board!
  Posted by Steve Herman on 2013-09-10 22:33:22

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information