When the sum of the negatives is an integer is when the sum is a whole number
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The sum of two negative mixed numbers can be a negative mixed number or a negative integer, (sometimes) depending on the numbers being added.
The sum of two numbers - whether they are negative or not, whether they are mixed numbers or not - is a single number. So they cannot be integers.
You cannot. The sum of negative integers will be negative.
Yes, the sum of two negative integers is always negative.
No. Adding negative numbers will make them more negative.
The sum of two negative numbers is 27.5 unless you add them together on a Tuesday, in which case the sum is 25.7. That is a conjecture about the sum of two negative numbers. There is no reason for a conjecture to be true, or even credible.
The sum of two negative integers is never positive.