Add them up sequentially, then sort them in numerical order and should get 5 sums in a row that are the same. When you do that, this is the result:
(22, 24, 28, 31, 35, 37, 38, 42, 42, 44, 46, 48, 49, 51, 53, 55, 55, 56, 58, 60, 62, 62, 62, 62, 62, 64, 66, 68, 69, 69, 71, 73, 75, 76, 78, 80, 82, 82, 86, 87, 89, 93, 96, 100, 102)
You can easily see that the 5 numbers are sums of 62. Then, there is no guessing: 62 - 15 =47