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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If the average (arithmetic mean) of a and b is 6, and a^2  Question banks Downloads My Bookmarks Reviews Important topics
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Moderator  Joined: 18 Apr 2015
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If the average (arithmetic mean) of a and b is 6, and a^2 [#permalink]
Expert's post 00:00

Question Stats: 90% (00:43) correct 9% (00:21) wrong based on 21 sessions

If the average (arithmetic mean) of a and b is 6, and $$a^2 - b^2 = 2$$, what is the value of $$a - b$$ ?

A) $$\frac{1}{6}$$

B) $$\frac{1}{3}$$

C) $$\frac{1}{2}$$

D) 2

E) 3
[Reveal] Spoiler: OA

_________________ Intern Joined: 08 Dec 2017
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Re: If the average (arithmetic mean) of a and b is 6, and a^2 [#permalink]
1
KUDOS
Average of a and b is (a+b)/2=6 or, a+b=12
a^2-b^2=2 or, (a+b)(a-b)=2 or, 12*(a-b)=2 or, a-b = 1/6

So the answer is A Re: If the average (arithmetic mean) of a and b is 6, and a^2   [#permalink] 30 Jan 2018, 12:41
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# If the average (arithmetic mean) of a and b is 6, and a^2  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.