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Anil Saigal 12/23/2008 FOR STUDENTS PROBLEM # 1 FOR GROWNUPS PROBLEM #2
 Please send your solutions to anil@lokvani.com.
 Problem Solutions 12/11/08PROBLEM # 1 Circles with centers A and B have radii 3 and 8, respectively. A common internal tangent intersect the circles at C and D, respectively. Lines AB and CD intersect at E, and AE = 5. What is CD? Solution: 44/3 PROBLEM # 2 Let n denote the smallest positive integer that is divisible by both 4 and 9, and whose base 10 representation consists of only 4's and 9's, with at least one of each. What are the last four digits of n? Solution: Congratulations to Shailesh Goregaokar, who was the winner of the last set of puzzles. You may also access this article through our website http://www.lokvani.com/ 
 
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