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Solution to Puzzle L-9.  GOLF DAY

Arthur, Bill, Chris, and David played golf together one Saturday morning.  Eighteen holes were played.

All of them scored 11 pars.  The rest of the plays were either eagles, birdies or bogeys.

Create the table below a show how many eagles, birdies, and bogeys each player scored.

All of them scored 11 pars.  So rest of the plays which were either eagles, birdies or bogeys should add up to seven.

Arthur scored 4 birdies.  Bill scored 3 eagles.

Dan did not have any birdie.  Chris did not have any eagle.

 Eagles Birdies Bogeys Arthur 4 Bill 3 Chris 0 Dan 0

One player eagled four times.   One player eagled once.  The only way to have this is

 Eagles Birdies Bogeys Arthur 1 4 Bill 3 Chris 0 Dan 4 0

One player birdied twice.   One player bogeyed twice.   One player birdied once.   The only way to have this is

 Eagles Birdies Bogeys Arthur 1 4 Bill 3 2 2 Chris 0 1 Dan 4 0

Filling up the rest of the cells in the table so that plays added up to seven yields:

 Eagles Birdies Bogeys Arthur 1 4 2 Bill 3 2 2 Chris 0 1 6 Dan 4 0 3

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Bits and Beyond...

PRIME NUMBERS

Prime numbers have captured the hearts of many mathematicians for centuries.  During 18th century, mathematician Christian Goldbach (1690-1764) wrote to Leonhard Euler that he believed it could be shown that every even integer greater than 2 is the sum of 2 primes.  For example, 30 = 23+7 and  36 = 13+23.  Until now, this conjecture has neither been proved or disproved.

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