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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(3): Solution, Standing on the shoulders of Tomarken. | Comment 5 of 24 |
(In reply to re(2): Solution, Standing on the shoulders of Hugo. by tomarken)

That seems to be a more correct solution Tomarken, I made an error: I didn't gave the three points to L when the game was lost.

I am not sure if the tie break has to be won 8 to 6 in this problem, as it says a first to 7 point tie-break.  And the rules in the given link don't clarify it

 Posted by Hugo on 2006-03-27 10:49:01

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