Given a pair of integers (a, b), can their sum and difference both be zero?

Let the two integers be $a$ and $b$.
The sum of the integers is $S = a+b$.
The difference of the integers is $D = a-b$.

The question asks if there is any pair of integers $(a,b)$ such that both their sum and their difference satisfy the condition given in the options.

Let's analyze each option:

• Option (b) zero. We need to find if there's a pair of integers $(a,b)$ such that $a+b=0$ AND $a-b=0$. We have a system of two linear equations:
  1. $a+b=0$
  2. $a-b=0$