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

Home > Just Math
Succinct Age Settlement (Posted on 2010-02-09) Difficulty: 2 of 5
The socialite Anne said to fellow socialite Claire, "I have three daughters. Can you figure out the ages of each of them knowing that the sum of their ages is 11?"

"That is not enough information," replied Claire.

"The product of their ages is either 16 years less or, 16 years more than your age," added Anne.

"Still not enough information." replied Claire after careful thought.

"The daughter whose age, in years, is the greatest is learning to play chess." said Anne.

Claire was then immediately able to determine the ages of Anne’s three daughters.

What are their ages?

No Solution Yet Submitted by K Sengupta    
Rating: 1.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Not enough information | Comment 6 of 7 |
(In reply to re: Not enough information by brianjn)

Two responses to BrianJn:

a) With children, it is very common to say that their age is "1 and 1/2" or "2 and 1/2".  And I don't think there is any question that 
"1 and 1/2" times "1 and 1/2" times 8 = 18

b) But I think that how one says their age is irrelevant.  No matter how we say it, a child who is 8 months old is 2/3 of a year old.  I just wrote 2/3 for clarity.  If it makes sense to multiply 1 year * 1 year * 9 years, it also must make sense to multiply 1/3 year * 5/3 year * 9.

  Posted by Steve Herman on 2010-02-10 00:52:28
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 (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information