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In the magic square below, each row, column, and main diagonal sum to 100,

2008 – 2009 Kennesaw State University Mathematics Competition Awards Ceremony. ANSWER. In the magic square below, each row, column, and main diagonal sum to 100,

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In the magic square below, each row, column, and main diagonal sum to 100,

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  1. 2008 – 2009 Kennesaw State University Mathematics Competition Awards Ceremony

  2. ANSWER In the magic square below, each row, column, and main diagonal sum to 100, where K, S, U, O, W, L, I, and Nrepresent (not necessarily distinct) real numbers. Compute N+S+O+L.

  3. SOLUTION Sum the middle row and middle column 200 = (N+S+O+L) + 2W. Another equation is needed to eliminate W, so sum all of the rows to get 300 = (N+S+O+L) + (K+ U+ W+ I+ 2009) = (N+ S+ O+ L) + (K+ W+ 2009) + (U + W+ I) – W = (N + S+ O+ L) + 200 – W. Thus, 100 = (N+ S+ O+ L) – W. Doubling the last equation and adding it to the first equation, we get 400 = 3(N+ S + O+ L), so N+ S+ O + L = . (Note that the answer is independent of 2009!)

  4. Participation: 124 schools participated * 55 counties and Atlanta City represented 2162 students competing * 96 public schools, 28 non-public schools

  5. 2007 – 2008 Kennesaw State University Mathematics Competition Awards Ceremony

  6. Kennesaw State University Mathematics Contest Winners 2008 – 2009 First PlaceMiles EdwardsLassiter High School Second PlaceOliver HuangPace Academy Third PlaceSanthosh KarnikWheeler High School Honorable Mention (in alphabetical order) Abubakar Abid Walton HS Krishna Akkineni Northview HS Mohan AkkineniNorthview HS Nisha Bhat Campbell HS Sitan Chen Northview HS Eric Chen Brookwood HS Alex Commanday Milton HS Krisha Desai Alpharetta HS Billy Dorminy Soli Deo Gloria Gil Goldshlager Walton HS Robert Grosse Chamblee HS Shiyao Gu LaGrange Academy Benjamin Hu Northview HS Yeonji Kang Alpharetta HS Bhanu Kumar Milton HS Jonghun KwakTallulah Falls HS Jianing Le Walton HS Zihao Li Brookwood HS Micelle Liu Chattahoochee HS Andrei Markov Columbus HS Henry Mei Walton HS Eric Morphis Woodward Academy Arvind Narayan Northview HS Allen Park Walton HS Edward Park Walton HS Lillian Wang Chamblee HS Daniel Wang Chattahoochee HS Edwin White Rockdale Magnet HS Maja Wichrowska Alpharetta HS Wells Yang Northview HS Luna Zhang Wheeler HS Claus Zheng Walton HS

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