I need help with a math problem

Question

The sum of two integers is -23. If the sign of one integer is changed, the new sum will be -3. What are the two integers? Which integer will have its sign changed

Answer 1

If we change the sign of one positive integer, we now have subtraction.

 

a + b = -23

a + (-b) = -3 -----> a - b = -3

 

Adding the two together...

 

2a = -26

a = -13

 

-13 + b = -23

b = -10

 

So, the two integers are -10 and -13, and -10 would change signs.

 

-13 + (-10) = -23

-13 + 10 = -3