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The Aging Brothers (Posted on 2003-08-14) Difficulty: 1 of 5
The product of 3 brothers' ages is 567. Two are twins.

How old is the other one?

  Submitted by Jayaram S    
Rating: 3.2000 (10 votes)
Solution: (Hide)
7.

The prime factorization of 567 is 3󫢫󫢯.

Since there are four factors of three, there are three ways mathematically to multiply three numbers, with two equal, to get 567:

1󪻕67 = 567
3󫢮3 = 567
9󭘷 = 567

Of these, the first is impossible, the second is maybe possible, but the third is the only really plausible answer, and that is what we are looking for.
The twins are 9, and the other brother is 7.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionDej Mar2010-07-04 14:05:36
SolutionPuzzle Solution: Method IIK Sengupta2008-12-13 12:24:00
SolutionPuzzle SolutionK Sengupta2007-03-24 11:42:58
Another Simple one, I hopeLawrence2003-08-24 06:46:15
re: Here is my solutionDan Erickson2003-08-23 04:20:51
Here is my solutionDan Erickson2003-08-23 04:14:05
re(2): arrrggghhhhSanjay2003-08-22 13:29:23
No SubjectDave Cheetham2003-08-17 12:32:09
SolutionSolutionMaura2003-08-16 22:59:42
Some Thoughtsre: arrrggghhhhFederico Kereki2003-08-15 22:16:27
SolutionarrrggghhhhFatBoy2003-08-14 11:59:48
No SubjectFatBoy2003-08-14 11:56:40
re: SolutionPaula2003-08-14 09:51:42
SolutionPaula2003-08-14 09:31:50
re: AnalysisGamer2003-08-14 08:24:57
No SubjectAaron2003-08-14 08:09:35
SolutionAnalysisDJ2003-08-14 08:05:05
SolutionSolutionLewis2003-08-14 07:31:09
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