#### Answer

When $0$ is added to itself, the sum is $0$, which is equal, and not greater, than the original number.

#### Work Step by Step

We need to find a counterexample to the statement:
If a number is added to itself, the sum is greater than the original number.
One such example would be the number $0$.
$0 + 0 = 0$
When $0$ is added to itself, the sum is $0$, which is equal, and not greater, than the original number.