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Age Ascertainment II (Posted on 2013-02-01) Difficulty: 1 of 5
       |  A  |     |
 |  B  |     |      
The ages of Ambrose, Brandon and Chester can be related to the diagram above so that when just one digit is written in each box:
  1. A across is Ambrose's age in years.
  2. A down is the sum of Ambrose's and Brandon's age in years.
  3. B across is the sum of Ambrose's age, Brandon's age and Chester's age in years.
  4. Two of Ambrose, Brandon and Chester are the same age in years.
Who is a different age in years from the other two?

No Solution Yet Submitted by K Sengupta    
Rating: 1.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Age Ambiguity (spoiler) | Comment 1 of 4

1) Ages of A + B + C end in the same digit as A + B, so C ends in a zero.
2) Ages of A + B start with same digit as A, so B is necessarily 0 through 9.
3) If an Age of 0 is allowed, then B and C could be newborn twins, and A is the odd man out.  
4) If an Age of 0 is not allowed, but ages starting with zero are allowed, then C could be odd man out.  For instance, Ambrose = Brandon = 4, and C is 90.
5) So I guess that we are supposed to assume that ages cannot be 0 and cannot start with a zero.  In that case, B is 1 through 9 and cannot be the same as C (which ends in 0).  And B cannot be the same as A, because A is more than 9.  So B is the odd man out.  Possible example: A = 10, C = 10, B = 5.

Expected answer:  B
Alternative answers (depending on assumptions): A, C

  Posted by Steve Herman on 2013-02-01 10:33:53
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