We want to find two numbers given that their sum is -12.6 and other restrictions.
a) We can use the numbers -12 and -0.6
b) Yes, we can have one positive and other negative, an example is -22.6 and 10.
First, the sum of two numbers A and B is just given by:
A + B
a) Here we restrict A and B to be negative numbers, then we need to find two negative numbers such that:
A + B = -12.6
Trivially, we can define:
A = -12
B = -0.6
Then:
A + B = (-12) + (-0.6) = -12 - 0.6 = -12.6
So we just found two numbers that when added are equal to -12.6
b) Now we want one negative number and other positive number.
Again, we start with:
A + B = -12.6
Let's say that the positive number is B = 10, let's find A, the negative number.
A + 10 = -12.6
A = -12.6 - 10 = -22.6
A = -22.6
Then yes, can one of the addends be positive and the other negative.
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