What are three integers that do not all have the same sign that have a sum of -20. write three integers that do not all have the same sign that have a sum of 10

There isn't an unique solution to these equations. For example, for the first one, you may pick two arbitrary positive number, and fix the third so that the sum is -20.

Say that you choose 4 and 26. Their sum is 30. To reach -20, the third number must be -50.

So, 4, 26 and -50 are three numbers that sum to -20 and don't have all the same sign.

Similarly, for the second requirement, pick two negative numbers, and adjust the third.

If you choose -3 and -2, their sum is -5. So, the third must be 15. In fact, -3, -2 and 15 are three numbers that sum to 10 and don't have all the same sign.

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