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?
Solution
4554554555
5455455455
5545545545
Sums of pairs 10010010010, 11001001000, 10100100100
Sum of all three 15555555555, total 51.
(C) John Scholes
jscholes@kalva.demon.co.uk
25 June 2002