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# What is the value of a? (1) -(a + b) = 2a – b + 9 (2) a + b = 6

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Math Expert
Joined: 02 Sep 2009
Posts: 56357
What is the value of a? (1) -(a + b) = 2a – b + 9 (2) a + b = 6  [#permalink]

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14 Aug 2018, 03:38
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Difficulty:

5% (low)

Question Stats:

88% (00:30) correct 12% (00:54) wrong based on 47 sessions

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What is the value of a?

(1) -(a + b) = 2a – b + 9

(2) a + b = 6

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Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
WE: Supply Chain Management (Energy and Utilities)
Re: What is the value of a? (1) -(a + b) = 2a – b + 9 (2) a + b = 6  [#permalink]

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14 Aug 2018, 03:50
Bunuel wrote:
What is the value of a?

(1) -(a + b) = 2a – b + 9

(2) a + b = 6

St1:- -(a + b) = 2a – b + 9
Or, -a-b=2a-b+9
-a=2a+9
Or, 3a=9
Or, a=3
Sufficient.

St2:- a+b=6
We have one equation and two variables. We can't determine an unique value of a.
Insufficient.

Ans. (A)
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Re: What is the value of a? (1) -(a + b) = 2a – b + 9 (2) a + b = 6  [#permalink]

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14 Aug 2018, 22:30
Bunuel wrote:
What is the value of a?

(1) -(a + b) = 2a – b + 9

(2) a + b = 6

value of a?

(1) -(a + b) = 2a – b + 9

-a-b=2a-b+9

Cancel b

-a=2a+9

-3a=9

a=-3

Hence Suff

(2) a + b = 6

3+3=6

2+4=6

Not Suff

Hence A
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Re: What is the value of a? (1) -(a + b) = 2a – b + 9 (2) a + b = 6  [#permalink]

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17 Aug 2018, 18:31
(1) -(a + b) = 2a – b + 9

(2) a + b = 6

solve for a..

1) b cancels out, we can get a

Re: What is the value of a? (1) -(a + b) = 2a – b + 9 (2) a + b = 6   [#permalink] 17 Aug 2018, 18:31
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