SOLUTION: A set contains five integers. when distinct elements of this set are added togehter, two at a time, the complete list of different possible sums that result are: 637, 669, 794, 915

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Question 99459: A set contains five integers. when distinct elements of this set are added togehter, two at a time, the complete list of different possible sums that result are: 637, 669, 794, 915, 919, 951, 1040, 1072, 1197
What is the largest of the five integers in the set?

Answer by 303795(602) About Me  (Show Source):
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This problem is incomplete. There should be another total.
The first number adds to 4 others = 4
The second number adds with the remaining 3 = 3
The third number adds to the remaining 2 = 2
The fourth and fifth numbers add with each other = 1
4 + 3 + 2 + 1 = 10 totals are required.