Hint to Riddle #75: NSA Track & Field
75. Three athletes (and only three athletes) participate in a series of track and field events. Points are awarded for 1st, 2nd, and 3rd place in each event (the same points for each event, i.e. 1st always gets "x" points, 2nd always gets "y" points, 3rd always gets "z" points), with x > y > z > 0, and all point values being integers.
The athletes are named Adam, Bob, and Charlie:
- Adam finished first overall with 22 points
- Bob won the Javelin event and finished with 9 points overall.
- Charlie also finished with 9 points overall.
Who finished second in the 100-meter dash (and why)?
The athletes are named Adam, Bob, and Charlie:
- Adam finished first overall with 22 points
- Bob won the Javelin event and finished with 9 points overall.
- Charlie also finished with 9 points overall.
Who finished second in the 100-meter dash (and why)?
This puzzle is not a million miles away from the now famous Cheryl's Birthday Puzzle. It's about building a model of possibilities and eliminating them as we follow the logic in the question. I'm suggesting a good place to start is that there is a total of 40 points awarded. For example there could be four events with 10 points awarded per event. Or 10 events, with 4 points awarded per event. Look at all the combinations, work out which ones are viable and eliminate until you have the complete points structure of the tournament.
N.B. We're assuming there are no ties or eliminations.
Where next?
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