GMAT Data Sufficiency Question 24: Absolute value equations

 
The following GMAT data sufficiency question tests your understanding of dealing with absolute value equations.

Question 24:

Is $a^2 = b^2$ ?

1. (1) $|a| \; – \; |b|=0$
2. (2) $|a| \; + \; |b|=0$

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.