What is x - y?
1) x + y = 8
2) x - 2y = 2
A) if statement (1) by itself
is sufficient to answer the question, but statement (2) by itself
is not;
B) if statement (2) by itself is sufficient to answer the question,
but statement (1) by itself is not;
C) if statements (1) and (2) taken together are sufficient to
answer the question, even though neither
statement by itself is sufficient;
D) If either statement by itself is sufficient to answer the
question;
E) If statements (1) and (2) taken together are not sufficient
to answer the question, requiring more data pertaining to the
problem.
Sample GMAT Practice Question Solution
(1) is not sufficient since (x - y) is the quantity desired.
Likewise, (2) is not sufficient. But (1) and (2) together provide
us with 2 equations and two unknowns from which x - y can be
determined. The correct response is C. (We may solve the problem
by subtracting (2) from (1): 3y = 6, therefore y = 2 and x =
6, so that x - y = 6 - 2 = 4. This calculation is, however, unnecessary.)
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