Russian 1998 Problem 3 Can you find positive integers a, b, c, so that the sum of any two has digit sum less than 5, but the sum of all three has digit sum more than 50?
4554554555 5455455455 5545545545 Sums of pairs 10010010010, 11001001000, 10100100100 Sum of all three 15555555555, total 51. Russian 1998 (C) John Scholes jscholes@kalva.demon.co.uk 25 June 2002