If ~$p, r$~, and ~$s$~ are consecutive integers in ascending order and ~$x$~ is the average (arithmetic mean) of the three integers, what is the value of ~$x$~?

1. Twice x is equal to the sum of ~$p, r$~, and ~$s$~.

2. The sum of ~$p, r$~, and ~$s$~ is zero.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.