Nine Digit Average   The arithmetic mean (average) of a set containing nine different positive integers is 123456789.  Each integer in the set has a different number of digits with the least value being a one-digit number and the greatest value being a nine-digit number.  Find the value of each integer in the set of nine integers.
February 20, 2006
Past Problems
	E-mail Solutions to: pow@umassd.edu
	Correct Solutions
	Bob Mitchell. Normal, IL Jerome Cherry. Mundare, Alberta, Canada Adrian Atanasiu.  Bucharest, Romania John Song. White Station High School, Memphis, TN Alexander McAvoy. Southampton, MA G. Kumar. Bridgewater, NJ Radu Ionescu. Montreal, Quebec, Canada Farid Lian. Uniatlantico, Barranquilla, Atl Daniel Senécal. Montréal, Qc, Canada Thomas Robertson.  Riverside, RI Shaan Arora. Brookstone School, Columbus, GA Sagar Patel. Brookstone School, Columbus, GA Max White. South Pasadena Middle School, South Pasadena, CA Dmitry Vagner. Ranney School, Tinton Falls, NJ Timothy Yales. Jerrold Greenberg. New York, NY Michael Vishevnik. Aristides Kyriakakis.  Thessaloniki, Greece Minray Yang. Carwise Middle School, Palm Harbor, FL Guillaume Roy-Loranger, Collège Jean-Eudes, Montreal, Quebec, Canada Tim Poe. Austin, TX David Shi. JLS Middle School, Palo Alto, CA Albert Zhou.  Scott Middle School, Lincoln, NE Frank McGartland. Saskatoon, SK, Canada Catherine Cunningham. Creekwood Middle School, Kingwood, TX Teruo Goto. Aichi, Japan Hannah Unger. Rye Junior High School, Rye, NH Alexander Taciuk.  Southridge School, Surrey Canada Wenlin Fan. Mountain Top, PA Daniel Acosta-Kane. Miami Killian Senior High School, Miami, FL Siraj Iqbal. Miami Killian Senior High, Miami, FL Zhuxinyu Gu. 62th Middle School, Shanghai, China Amanda Tu. Southridge School, Surrey, BC Nikki Tan. Southridge School, Surrey BC, Canada Ross Pacheco. Hastings Midlle School Fairhaven, MA Diane Kristiansen. Westwood College, Dallas, TX Stella Barth. Stoneham High School, MA Nancy Huynh. Everett, MA Brian Ng. Hutt Intermediate School, Lower Hutt, New Zealand Sahana Vasudevan. Vargas Elementary School, Sunnyvale, CA Ken Tyburski.  Chatham Hall Mathematics Faculty.  Chatham, VA Emil Lalov. Mathematical High School, Pleven, Bulgaria Moira Noble. Daniel Noble International School of Uganda, Uganda. Kunal Singh.  Kendriya Vidyalaya Happy Valley Shillong, India Hendrik Salomons. Arapoti, Brazil Kevin Cua Temew. Davao Christian High School, Davao City, Philippines Greg LaCroix. Somerdale, NJ Eugene Roytman. New York, NY Roland Vyncke. Brugge,Belgium Gary Kevin. Brensike. Fairfax, VA Becky Britton. St. Luke Middle School, Columbus, GA Michel Poulin. College Jean-Eudes, Montréal, Québec, Canada Bar Greengrass. Israel Mike Osterfoss, Moore, SC Carl Sedgeman. Sauk Centre HS, Sauk Centre, MN Hayden Hammel. Sauk Centre HS, Sauk Centre, MN Praveen Nandamuru. Brookstone School, Columbus, GA Arjun Vijayakumar. Bridgewater-Raritan Middle School, Bridgewater, NJ Phillip Ai.  Hammarskjold Middle School, East Brunswick, NJ Kristy Chang. South Pasadena Middle School, South Pasadena, CA Jane Parker. Columbus High School, Columbus, GA Sarah Chen. Marie Curie Middle School, New York, NY Tiffany Chen. South Pasadena Middle School, South Pasadena, CA George Hatzikiriakos. Southridge School,Surrey, B.C., Matthew DeCoste. La Canada Middle School, La Canada, CA James Kawakami. South Pasadena Middle School, South Pasadena, CA Karina Shaw. Laguna Beach High School, Laguna Beach, CA Jonathan Uesato, Milpitas Christian, School, San Jose, CA Rin Sone. South Pasadena Middle School, CA Yicheng Li. Kelly Temew. Davao Christian High School, Davao City, Philippines Jake Berling. Sauk Centre HS, Sauk Centre, MN Lisa Schechner. Schreiber HS, Port Washington, NY Yoganand Guruswamy. Hart Middle School, Pleasanton, CA Nick Taylor. US Air Force Academy, Colorado Springs, CO Daniel Bernucci. Collège Jean-Eudes, Montreal, Quebec, Canada Michelle Lam. South Pasadena Middle School, South Pasadena, CA Katherine Wang, South Pasadena Middle School, South Pasadena, CA Serena Kulmatyski. R.F. Staples, Westlock, AB Svadharma Keerthi South Pasadena Middle School, CA Jon Gomes. New York, NY Marius Damian. Braila, Romania Ed Ahlstrand. Boulder, CO Abdul Lang, Sargodha, Pakistan Ethan Tritt. Houston, TX Grant Cooper. Crane Country Day, Santa Barbara, CA Doug McKenzie. Crane Country Day, Santa Barbara, CA Cray Math Project, New Castle, PA Russell Beaty. Brookstone School, Columbus, GA Ekaterina Merkurjev. Palisades Charter High School, Los Angeles, CA Aashrita Mangu. South Pasadena Middle School, South Pasadena, CA Iver Meng. South Pasadena Middle School, South Pasadena CA Daniel Pyon. South Pasadena Middle School, South Pasadena, CA Andrew Sailor. Osceola Middle School, Ocala, FL Andy Drabic. Archbishop Hoban High School, Akron, OH Jennifer Sailor. Osceola Middle School, Ocala, FL Tanvi Rastogi. Bridgewater-Raritan High School, Bridgewater, NJ Joe Brophy. Boston, MA Josh Gow. Sauk Centre HS, Sauk Centre, MN Ben Gieske. Sauk Centre HS, Sauk Centre, MN Matthew McKenzie. Crane Country Day, Santa Barbara, CA Rhea Salinas. Madonna Catholic Secondary School, Toronto, Canada Christopher Sinkule. St. Luke School, Columbus, GA Christine Orr. Winston Knoll Colligiate, Sask, Canada Seth Flowers. Parkersburg High School, Parkersburg, WV Matthew Wong. South Pasadena Middle School, CA Akhil Jariwala. Raleigh, NC Caroline Moore. Forsyth Country Day School, Winston-Salem, NC Zelko Zahtila. Melbourne, Australia Kyle Doxtater. Seminole High School, FL
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 Last Updated On: 3/2/06