In a game of table tennis, 24 of the 37 points played were won by the player serving, and Smith beat Jones 2116. Remembering in table tennis that service alternates every five points, who served first?
If X is the points won by Smith on his serve and Y is the points scored by Jones on his serve.
1) X+Y =24 at all condition
Optional condition is if Smith serves first then
2) X+17Y=21
if smiths serves second then its
3) X+20Y=21
3) doesnt give integer solution so XY=4 or X=14 and Y=10
Hences jones serves last.
Here there are two options is Smiths wins a) 20 in last serve or b) 11 in last serve
In case a) the scores would be 14/6 on Smith serve and 7/10 on Jones serve and Case b) the scores would be 14/6 on smith serve and 7/10 on Jones Serve. So it really doesnt make any difference as regards score in the final serve.
So Smith Serves first.

Posted by Salil
on 20130718 08:13:54 