19
3 and 11.
19
The numbers are: 2+7 = 9 and 2*7 = 14
For the product to be zero, one of the numbers must be 0. So the question is to find the maximum sum for fifteen consecutive whole numbers, INCLUDING 0. This is clearly achived by the numbers 0 to 14 (inclusive), whose sum is 105.
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7 and 2
14, 35
The numbers are -15, and -14.
14 and 11
-14 and 15
They are: 5 and 14
1 and 13.