Answer to December 2007 Problem
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Sally invited 17 guests to a Christmas hoedown. She assigned each guest a number from 2 to 18, keeping 1 for herself. While everyone was dancing, Sally noticed that the sum of each couple's numbers was a perfect square. What was the number of Sally's partner? |
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Solution to the Problem:
Sally's partner had number 15. The pairings were
1-15, 2-14, 3-13, 4-12, 5-11, 6-10, 7-18, 8-17,
and 9-16.
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| 1. K. Sengupta | Calcutta, INDIA |
| 2. John Funk | Ventura, California |
| 3. Ken Petersen |
Mountain View High School, Mountain View, Wyoming |
| 4. Kallie Gross | Mountain View High School, Mountain View, Wyoming |
| 5. David & Judy Dixon | Bennettsville, South Carolina |
| 6. Richard K. Johnson | La Jolla, California |
| 7. Jamie Campbell | ---------- |
| 8. Les Walker | Ventura, California |