Given that the total you are looking for is even, and that you are looking for three numbers in your solution, one of the numbers has to be 2 - otherwise, three odd numbers added together would always equal an odd number. The other two numbers in the sum are 37 and 61.
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5 and 47
109, 5 and 2
3, 5 and 29
11 & 29 or 17 & 23
13 and 19 or 3 and 29