Bunuel
Solution:We need to determine the value of xy. Notice that if we can determine the individual values of x and y, then we can determine the value of xy.
Statement One Alone:Since we don’t know the individual values of x and y, we can’t determine the value of xy. For example, if x = 5 and y = 5, then xy = 25. However, if x = 6 and y = 4, then xy = 24. Statement one alone is not sufficient.
Statement Two Alone:
Since we don’t know the individual values of x and y, we can’t determine the value of xy. For example, if x = 7 and y = 1, then xy = 7. However, if x = 8 and y = 2, then xy = 16. Statement two alone is not sufficient.
Statements One and Two Together:With the two statements, we have two independent linear equations with two variables, which means we can solve for both x and y. Here we see that x = 8 and y = 2 satisfies both equations. Thus, xy = 16. So both statements together are sufficient.
Answer: C