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First Four Digits

2 + 1 + 3 + 2 = 8

The number 21328 has a unique feature: The sum of the first four digits equals the units digit.  How many EVEN five-digit numbers have this unique property?

February 6, 2006
Past Problems  
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E-mail Solutions to: pow@umassd.edu

   
  Correct Solutions 
 
  1. Francois Bonjean. Liege, Belgium
  2. Gary Brensike. Fairfax, VA
  3. Thomas Robertson.  Riverside, RI
  4. Greg LaCroix. Somerdale, NJ
  5. Jim LeBlanc. West Warwick, RI
  6. Frank McGartland. Saskatoon, SK., Canada
  7. Eugene Roytman. New York, NY
  8. Charles Keebaugh. Colorado Springs, CO
  9. Allamanis Miltiadis. Anatolia High School, Thessaloniki, Greece
  10. Radu Ionescu. Montreal, Quebec, Canada.
  11. Aristides Kyriakakis.  Thessaloniki. Greece
  12. Nancy Huynh. Everett, MA.
  13. Wenlin Fan. Mountain Top, PA
  14. Jerome Cherry. Mundare, Alberta, Canada
  15. Brittany Cole. Dartmouth High School, Dartmouth, MA
  16. Brian Hetrick. UNH, Durham NH
  17. Don Miller
  18. Teruo Goto. Aichi, Japan
  19. Akash Goyal. Miami Valley School. OH
  20. Dennis Gorshteyn. South Pasadena Middle School, South Pasadena, CA
  21. Tim Poe. Austin TX
  22. Farid Lian. Barranquilla, Colombia
  23. Ken Tyburski. Chatham Hall, Chatham, VA
  24. Derek Brown. Forsyth Country Day, Lewisvill, NC
  25. Sarah Chen. Marie Curie Middle School, New York, NY
  26. Sagar Patel. Brookstone School, Columbus, GA
  27. Farid Lian. Uniatlantico, Barranquilla, Atl
  28. Amanda Tu. Southridge School, Surrey, BC, Canada
  29. Nikki Tan. Southridge School, Surrey, BC, Canada
  30. David Shi. JLS Middle School, Palo Alto, CA
  31. Congyue Chen. JLS Middle School, Palo Alto, CA
  32. Roland Vyncke. Brugge, Belgium
  33. Kunal Singh. Kendriya Vidyalaya Happy Valley, Shillong, India
  34. Tom Lindsay. Carver, MA
  35. Emil Lalov. Mathematical High School, Pleven, Bulgaria
  36. Bob Mitchell. Normal, IL
  37. Jon Zazzaretti. Brown Elementary, Denver, CO
  38. Clare Perry. Forsyth Country Day School, Lewisville, NC
  39. Aashrita Mangu. South Pasadena Middle School, South Pasadena, CA
  40. Elizabeth.  Creekwood Middle School, Kingwood, TX
  41. Rin Sone. South Pasadena Middle School, CA
  42. Kevin Temew. Davao Christian High School, Davao City, Philippines
  43. Timothy Yales. Westland, MI
  44. Russell Beaty. Brookstone School, Columbus, GA
  45. Max White. South Pasadena Middle School, South Pasadena, CA
  46. Shaan Arora. Brookstone School, Columbus, GA
  47. Carter Galbraith. Brookstone School, Columbus GA
  48. Alexander Taciuk. Southridge School, Surrey, BC, Canada
  49. George Hatzikiriakos. Southridge School, Surrey, B.C.
  50. Brianna Loo. South Pasadena Middle School, South Pasadena CA
  51. Tiffany Chen. South Pasadena Middle School, South Pasadena, CA
  52. Rodney Clingaman. Fishers, IN
  53. Justin Fernicola. Brookstone School, Columbus, GA
  54. Jess Thorpe. Brookstone School, Columbus, GA
  55. Michelle Lam. South Pasadena Middle School, South Pasadena, CA
  56. Mike Osterfoss. Moore, SC
  57. Daniel Pyon. South Pasadena Middle School, South Pasadena, CA
  58. Matthew Wong. South Pasadena Middle School, South Pasadena, CA
  59. Milan Patel. Miami Valley School, Dayton, OH
  60. Jordan Ammon. Ormond Beach, FL
  28% of respondents successfully answered this problem.


 



 Last Updated On: 2/13/06

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