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

Home > Numbers
Party People (Posted on 2003-07-21) Difficulty: 2 of 5
Three people at a party discover that the product of any two of their ages is equal to the year in which the third was born.

What is the most recent year the party could have taken place?

  Submitted by Brian Smith    
Rating: 2.6667 (6 votes)
Solution: (Hide)
Call the year Y and the three ages A, B, and C. Then Y-A=B*C, Y-B=A*C and Y-C=B*A.

Solving these equations yields A=B=C and Y=A^2+A. If A=43 then Y=1849. If A=44 then Y=1936. If A=45 then Y=2025.

1936 is the most recent year before today (2003).

Solution: They were all 44 and the party took place in 1980.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolution[s]Dej Mar2008-02-21 13:24:02
answerK Sengupta2007-10-14 06:20:45
SolutionThe AnswerChris, Phd2004-12-18 05:53:12
solutionsunnyrae2003-07-24 05:49:01
SolutionLonger solutionEnder2003-07-22 07:27:07
SolutionSolutionRob2003-07-21 17:19:53
SolutionsolutionCharlie2003-07-21 12:10:19
SolutionsolutionBryan2003-07-21 09:49:19
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information