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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 a2 – b2 = 2, wha

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Math Expert V
Joined: 02 Sep 2009
Posts: 61283
If the average (arithmetic mean) of a and b is 6, and a2 – b2 = 2, wha  [#permalink]

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Difficulty:   15% (low)

Question Stats: 92% (01:01) correct 8% (01:31) wrong based on 25 sessions

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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. 1/6
B. 1/3
C. 1/2
D. 2
E. 3

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Manager  B
Joined: 31 Dec 2018
Posts: 114
Location: India
Re: If the average (arithmetic mean) of a and b is 6, and a2 – b2 = 2, wha  [#permalink]

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a+b=12
(a+b)(a-b)=2
a-b=2/12=1/6

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GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5931
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If the average (arithmetic mean) of a and b is 6, and a2 – b2 = 2, wha  [#permalink]

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Bunuel wrote:
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. 1/6
B. 1/3
C. 1/2
D. 2
E. 3

a+b=12
and (a+b)*(a-b)=2
a-b=1/6
IMO A Re: If the average (arithmetic mean) of a and b is 6, and a2 – b2 = 2, wha   [#permalink] 28 Feb 2019, 05:00
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# If the average (arithmetic mean) of a and b is 6, and a2 – b2 = 2, wha  