Question 53
A list of six positive integers $p, q, r, s, t, u$ satisfies $p\lt q\lt r\lt s\lt t\lt u$. 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: $$
25,30,38,41,49,52,54,63,68,76,79,90,95,103,117
$$ Determine the value of the sum $r+s$.
25,30,38,41,49,52,54,63,68,76,79,90,95,103,117
$$ Determine the value of the sum $r+s$.