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?
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.
Correctly solved by:
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
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8. Les Walker
Ventura, California