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Lazy Tennis (Posted on 2006-03-27) Difficulty: 3 of 5
In a game of tennis, the player who puts in the most effort in a match, and wins the majority of points, does not necessarily win the match as a whole.

Imagine two tennis players compete in a 5-set match, with each set following the scoring system of tennis, and a first to 7 point tie-break takes place if the score in a set is 6 games each. Let the total number of points won by the person who wins the match be represented by W, and let the total number of points won by the person who loses the match be represented by L.

If by the end of the match L-W is equal to a POSITIVE integer, then what is the maximum value this integer can be? Furthermore, develop an equation to determine the integer formed from L-W for a match of x number of sets.

Note: Enough information regarding the scoring system in tennis required to solve the problem, can be found at http://tennis.about.com/cs/beginners/a/beginnerscore.htm

No Solution Yet Submitted by Chris, PhD    
Rating: 4.3333 (6 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionre: This IS the solution!!!TheKPAXian2010-01-20 16:26:45
Some ThoughtsThis IS the solution!!!TheKPAXian2009-10-05 12:09:10
Some ThoughtsNo No-AdDej Mar2006-03-29 20:29:05
SolutionNo SubjectChris, Phd2006-03-29 02:46:35
re: No SubjectDej Mar2006-03-28 12:58:27
No SubjectChris, Phd2006-03-28 04:57:29
Exquisite answeralex2006-03-28 04:53:47
SolutionNo SubjectChris, Phd2006-03-28 04:45:59
Answer is as Simple as A B Calex2006-03-28 04:39:49
re(9): Solution, (Game, Set, Match?)Dej Mar2006-03-27 16:45:14
Some Thoughtsre(8): Solution, doing the Bristol Stomp on Dej Mar's craniumtomarken2006-03-27 15:42:03
re(8): Solution, my legs are getting tired too, I'm second in lineHugo2006-03-27 15:19:59
Some Thoughtsre(7): Solution, dancing atop tomarkenDej Mar2006-03-27 15:14:06
Some Thoughtsre(6): Solution, stepping on Dej Mar's head :)tomarken2006-03-27 13:35:21
Some Thoughtsre(5): Solution, trying to lift tomarken back upDej Mar2006-03-27 13:24:59
Some ThoughtsMy legs are getting tired...tomarken2006-03-27 11:48:18
re(5): Solution, Standing on the shoulders ofTomarken, who is standing on the shoulders of about.com, who is...Hugo2006-03-27 11:24:44
Some Thoughtsre(4): Solution, Standing on the shoulders of about.comtomarken2006-03-27 11:04:18
re(3): Solution, Standing on the shoulders of Tomarken.Hugo2006-03-27 10:49:01
Solutionre(2): Solution, Standing on the shoulders of Hugo.tomarken2006-03-27 09:51:18
re: Solution, Standing on the shoulders of giants.Hugo2006-03-27 08:11:43
re: SolutionVernon Lewis2006-03-27 07:55:15
SolutionSolutiontomarken2006-03-27 07:49:33
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