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What is the value of xy?
(1) x + y = 10
(2) x - y = 6
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(1) x + y = 10
(2) x - y = 6
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SOLUTION
What is the value of xy?
(1) x + y = 10
(2) x - y = 6
We need to know both x and y. When we combine the statements we can solve the equations and get the value of xy.
Answer: C.
_________________
What is the value of xy?
(1) x + y = 10
(2) x - y = 6
We need to know both x and y. When we combine the statements we can solve the equations and get the value of xy.
Answer: C.
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
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From Statement 1 and 2 alone, multiple values are possible.
Combined, we can get the value of xy;
Ans is (C).
The value of xy will be 16.
Combined, we can get the value of xy;
Ans is (C).
The value of xy will be 16.
ScottTargetTestPrep
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Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 04 Sep 2026
Posts: 22,729
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Location: United States (CA)
Expert reply
Posts: 22,729
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
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What if X=8.5 and Y=1.5, It still satisfies both the Eqn's but the product is 12.75.
ishankar
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8.5 - 1.5 = 7, not 6.
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