Respuesta :

Answer: the two numbers are 7 and -27

Step-by-step explanation:

Let the two numbers be a and b

From the question,

a + b = -27.......eqn 1

a - b = 41............eqn 2

Sum the two equations

2a = 14

Divide both sides by 2

a = 14/2; a = 7

Substitute a = 7 into equation 2

a - b = 41

7 - b = 41

Make b the subject of the equation

-b = 41 -7

-b = 34

b = -34

Check:

a + b = -27, slot the values of a and b

7 + (-34) = -27

7- 34 = -27

I hope this is clear, please mark as brainliest answer