GAUSS8 2009 Problem 25

A list of six positive integers p,q,r,s,t,u satisfies p<q<r<s<t<u. There are exactly 15 pairs of numbers that can be formed by choosing two different numbers from this list. The sums of these 15 pairs of numbers are:

25,30,38,41,49,52,54,63,68,76,79,90,95,103,117 .

Which sum equals r+s?

Answer Choices
A. 52
B. 54
C. 63
D. 68
E. 76