-28
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A lot of possibilities:
-1 -15 -15
-3 -13 -15
-5 -17 -9
...
1 + 11 - 43
17 - 57 + 9
....
19
There are no 5 odd numbers that when added together make 30.Two odd numbers added together make an even numberAn odd number plus and even number makes an odd number.From the five odd numbers:Take two of them and add them together getting an even number and four odd numbersAdd another of the odd numbers to this even number and you will have three odd numbersAdd two of these together and you will have one even and one odd number.Finally add these odd and even numbers together and the result will be an odd numberBut 30 is an even number, so cannot be the sum of five (or any odd number of) odd numbers.
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.
It is impossible.
The answer depends on how many odd numbers are being added together: even numbers make no difference.If the count of odd numbers is odd then the total is odd, andff the count of odd numbers is even then the total is even.