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 Lazy Tennis (Posted on 2006-03-27)
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)

 Subject Author Date No Subject oursains 2018-12-04 12:41:34 re: This IS the solution!!! TheKPAXian 2010-01-20 16:26:45 This IS the solution!!! TheKPAXian 2009-10-05 12:09:10 No No-Ad Dej Mar 2006-03-29 20:29:05 No Subject Chris, Phd 2006-03-29 02:46:35 re: No Subject Dej Mar 2006-03-28 12:58:27 No Subject Chris, Phd 2006-03-28 04:57:29 Exquisite answer alex 2006-03-28 04:53:47 No Subject Chris, Phd 2006-03-28 04:45:59 Answer is as Simple as A B C alex 2006-03-28 04:39:49 re(9): Solution, (Game, Set, Match?) Dej Mar 2006-03-27 16:45:14 re(8): Solution, doing the Bristol Stomp on Dej Mar's cranium tomarken 2006-03-27 15:42:03 re(8): Solution, my legs are getting tired too, I'm second in line Hugo 2006-03-27 15:19:59 re(7): Solution, dancing atop tomarken Dej Mar 2006-03-27 15:14:06 re(6): Solution, stepping on Dej Mar's head :) tomarken 2006-03-27 13:35:21 re(5): Solution, trying to lift tomarken back up Dej Mar 2006-03-27 13:24:59 My legs are getting tired... tomarken 2006-03-27 11:48:18 re(5): Solution, Standing on the shoulders ofTomarken, who is standing on the shoulders of about.com, who is... Hugo 2006-03-27 11:24:44 re(4): Solution, Standing on the shoulders of about.com tomarken 2006-03-27 11:04:18 re(3): Solution, Standing on the shoulders of Tomarken. Hugo 2006-03-27 10:49:01 re(2): Solution, Standing on the shoulders of Hugo. tomarken 2006-03-27 09:51:18 re: Solution, Standing on the shoulders of giants. Hugo 2006-03-27 08:11:43 re: Solution Vernon Lewis 2006-03-27 07:55:15 Solution tomarken 2006-03-27 07:49:33

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