Answer: -15 
Explanation:
Let the unknown number be 'x' 
Using the statement we can form the equation:
4 + x = -11 
Now, solve the above equation to get : 
4 + x = -11
x = -11 -4 
x = -15 
The number is -15. To check our answer, substitute for x : 
4 + (-15) = -11
4 - 15 = -11
The above equation is correct. Therefore, the number is -15.