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 pow-image

A+B+C

abc1

Let A, B, and C represent different digits greater than zero.  Determine the minimum value of the expression

abc2

(Note: for ABC, A is the hundreds digit, B is the tens digit, and C is the ones digit - - they are not multiplied)

March 7, 2005
Past Problems  
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E-mail Solutions to: pow@umassd.edu

   
  Correct Solutions 
 
  1. Hamilton Hardison. University of Georgia. Athens, GA
  2. Yu Hoi Anna. Diocesan Girls' Junior School, Hong Kong
  3. Radu Casian Ionescu. Montreal, Quebec, Canada
  4. Omer Parlu. Yuzyil Isil Primary S, Istanbul, Turkey
  5. Patrick McHenry. Gloucester City Schools, Gloucester, MA
  6. Mike Osterfoss. Colorado School of Mines, Golden, CO
  7. Li Chun Yin. City University of Hong Kong, Hong Kong
  8. Evan Durant. Dartmouth High School, Dartmouth, MA
  9. Dennis Muniz. Commack, NY
  10. Asheesh Saincher. Southridge School, Surrey BC
  11. Josh Rasera. Southridge School, Surrey, BC Canada
  12. Robin Miller.
  13. Norman Peng. Lowell High School, San Francisco, CA
  14. Frank McGartland.  Saskatoon,  SK., Canada
  15. Aristides Kyriakakis.  Thessaloniki,  Greece
  16. Adrian. Faculty of Mathematics and Computer Science, Bucharest University
  17. Brian Hetrick. University of New Hampshire, Manchester, NH
  18. Cannan Yim. CSU, Long Beach, CA
  19. Luan Luu. CSU, Long Beach, CA
  20. Kirill Korsak. Harper Park Middle School, Leesburg, VA
  21. Peter Schaffer.  Budapest University of Technology and Economics, Budapest, Hungary
  22. Anshuman sahu. MNNIT, Allahabad, India
  23. Jerrold Greenberg. New York, NY
  24. Lisa Schechner. Schreiber HS, Port Washington, NY
  25. Jerome Cherry. NAIT, Edmonton, Alberta, Canada
  26. Kevin Jacobson. Brookstone School, Columbus, GA
  27. Sarah Chen. Marie Curie Middle School, Bayside, NY
  28. Max Neumann. Freie Universität Berlin, Berlin, Germany
  29. James Endicott.   Good Counsel High School,  Wheaton, MD
  30. Dale Chang. Oak Knoll Middle School, Virginia
  31. Nikita Kitaev. South Pasadena Middle School, South Pasadena, CA
  32. Brian Miranda.
  33. Ravi Kulkarni. Naperville North High School, Naperville, IL
  34. Aquil Virani. Southridge Senior School, Surrey, BC, Canada
  35. Crystal Koo. Steveston Secondary School, Richmond, B.C., Canada
  36. Roland Vyncke. Brugge, Belgium
  37. Wanchai Longthanthong. Chulalongkorn Engineering School, Phrayathai, Bangkok
  38. Marianne Ortiz-Lytle. Los Osos Middle School, Los Osos, CA
  39. Cameron S. Brookstone, Columbus, GA
  40. Yifeng Qin. Deep Run High School, Richmond, VA
  41. Mark Wintczak, Naperville, IL
  42. Sahana Vasudevan. Country Parkway Elementary School, Williamsville, NY
  43. Phillip Ai. Warnsdorfer Elementary School, East Brunswick, NJ
  44. Brian Miranda. University of Massachusetts Dartmouth, Dartmouth, MA
  45. Bob Mitchell. Normal, IL
  46. Rohan Verma. Creekwood Middle School, Kingwood, TX
  47. Ryan Lang. Dartmouth High School, Dartmouth, MA
  48. Cindy Sung. Duchesne Academy, Houston, TX
  49. Samuel Coffin. Brookstone School, Columbus, GA
  50. Nathan Gould. Scarsdale High School Scarsdale, NY
  51. Felicia Dupras. Dartmouth High School, Dartmouth, MA
  52. Mitchell Donald. Southridge Senior School, Surrey, BC, Canada
  53. Mac Dillon. Brookstone School, Columbus, GA
  54. Kyle Priver. South Pasadena Middle School, South Pasadena, CA
  55. Lindsey Gualano. Newfane High School Newfane, NY.
  56. Randy Lomas. Harvest Park Middle School, Pleasanton, CA
  57. Hannah Kan. South Pasadena Middle School, South Pasadena, CA
  58. Alex McIntire. Brookstone School, Columbus, GA
  59. Laura Rickman. Brookstone School. Columbus, GA
  60. Kenneth Kuo. South Pasadena Middle School, South Pasadena, CA
  61. Klemen Kovacic. OSZO, Kocevje, Slovenia
  62. Jimmy.
  63. Molly Simkins. Brookstone School, Columbus, GA
  64. Jason Tripp. Westside HS, Macon, GA
  65. Catherine Perry. Cardinal Stritch University, Milwaukee WI
  66. Karnvir Athwal. Southridge School Surrey, BC
  67. John Howorth. Southridge School, White Rock, B.C. Canada
  68. Graydon Botsford. Southridge School, Surrey BC
  69. Peter Phylosopher.  Windsor Park Collegiate, Winnipeg Manitoba, Canada
  70. Ali Chavez. Creekwood Middle School, Kingwood, TX
  71. Rohit Bollineni. Power Middle school, Farmington Hills, MI
  72. Sahit Bollineni. Highmeadow Common Campus, Farmington Hills, MI
  73. Samantha Grey. Creekwood Middle School, Kingwood, TX
  74. Sam Bottman. Washington Middle School, Seattle, WA
  75. Kelsey Martin. Southridge School, BC, Cananda
  76. Matt West. South Pasadena Middle School, CA
  77. Rain Maker. South Shelby High School, Shelbina, MO
  78. David Friedman. Sippican Elementary School, Marion, MA
  79. Bar Greengrass. Lapid School, Hod Hasaron, Israel.
  80. Miltiadis Allamanis. Anatolia High School, Thessaloniki, Greece
  81. Chelsea Smith. Brookstone School, Columbus, GA
  82. Andrea Klaverkamp. Windsor Park Collegiate, Winnipeg, Manitoba, Canada
  83. Brad Woods. Warren, Manitoba, Canada
  84. Warner Kennon. Brookstone School, Columbus, GA
  85. Haley Lewandowski. Fern Hill Elementary School, West Chester, PA
  86. Avani Raythatha. Creekwood Middle School, Kingwood, TX
  87. Bill Croughan.  Episcopal School of Acadiana, Cade, LA
  88. Aaron Weldon. Creekwood Middle School, Kingwood, TX
  89. Rodney Clingaman. Fishers, IN
  90. Mr. Almeida. Lawrence Junior High School, Falmouth, MA
  91. Zac Sonnier. Creekwood Middle School, Kingwood, TX
  92. Amy Schroeder. South Shelby High School,  Shelbina, MO
  93. Jing Min Liu. Dartmouth High School, Dartmouth, MA
  94. Kevin Magruder. South Shelby High School, Shelbina, MO
  95. Daniel Chinn.  South Shelby High School, Shelbina, MO
  96. Levi Rash. South Shelby High School, Shelbina, MO
  97. David Shi. JLS Middle School, Palo Alto, CA
  98. Moograed peni. Aakash City, WA
  99. Foster Sibelius Lerner. The Geneva School, Winter Park, FL
  100. Michaela Ross. Brackenfel Primary School, Cape Town
  101. Kayleigh Long. South Shelby High School, Shelbina, MO
  102. Danny Avila. Dartmouth High School, Dartmouth, MA
  103. Krystal Schumann. South Shelby High School, Shelbina, MO
  104. Jake Cheng. Bridgewater-Raritan Regional High School, Bridgewater, NJ
  105. Lucy Rutter. South Shelby High School, Shelbina, MO
  106. Sean Soni. Crayton Middle School, Columbia, SC
  107. Frank Sanchez. Kealing, Austin, TX
  108. Francois Bonjean. Namur, Belgium
  109. Lindsey Camara, Dartmouth High School, Dartmouth, MA
    41% of respondents successfully answered this problem.   


 



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