Let a, b, c be distinct positive integers chosen from {3, 4, 5, ..., 103}. Find all possible values of a + b + c.

Guest Sep 11, 2020

#1**+1 **

Lowest is 3+4+5=12. Highest is 101+102+103=306. You can obviously get every number in between by increasing some variable or decreasing another. So ans is **{12,13,14,...,306}**

thedudemanguyperson Sep 12, 2020