Assume that A is a subset of {1,2,3,......,100} with the property that no two distinct elements of A sum to 110. What is the largest possible value of the sum of elements of A?
A={1, 2, 3, 4, 5, 6, 7, 8, 9, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100}=3610 largest possible value of A
