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# Is ax = 6 - bx ?

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Director
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Is ax = 6 - bx ? [#permalink]

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24 Oct 2013, 17:35
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45% (medium)

Question Stats:

57% (01:58) correct 43% (01:09) wrong based on 201 sessions

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Is ax = 6 - bx ?

(1) a = b
(2) 2ax = 6

GH-07.31.13 | OE to follow.
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 39755
Re: Is ax = 6 - bx ? [#permalink]

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25 Oct 2013, 00:33
1
KUDOS
Expert's post
Is ax = 6 - bx ?

(1) a = b. The question becomes: is ax = 6 - ax? --> is ax = 3? We don't know that. Not sufficient.

(2) 2ax = 6 --> ax=3. The question becomes: is 3 = 6 - bx? --> is bx = 3. We don't know that. Not sufficient.

(1)+(2) From (1) the question became "is ax = 3?" and (2) answers that question. Sufficient.

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GMAT 4: 610 Q44 V30
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WE: Accounting (Accounting)
Re: Is ax = 6 - bx ? [#permalink]

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29 Oct 2013, 22:16
Official Explanation

First, simplify the question:
Is ax + bx = 6 ?
Is x(a + b) = 6 ?
Either of those versions could turn out to be helpful.

Statement (1) is insufficient. We can simplify the question further:

Is ax + ax = 6 ?
Is 2ax = 6 ?
Is ax = 3 ?

Statement (2) is also insufficient. With this statement alone, we don't know anything about b, so the value of ax isn't enough.

Taken together, the statements are sufficient. Statement (1) tells us that the question is identical to:
Is 2ax = 6 ? and (2) tells us that this is true: 2ax = 6. Choice (C) is correct.
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Re: Is ax = 6 - bx ? [#permalink]

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13 Jan 2015, 16:27
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Re: Is ax = 6 - bx ? [#permalink]

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13 Jan 2015, 20:58
Hi All,

The 'algebra approach' to this DS question is pretty straight-forward (and an easy way to get to the correct answer). If you don't recognize that approach though, you can still answer this question by TESTing VALUES.

We're asked if AX = 6 - BX. This is a YES/NO question

Fact 1: A = B

IF....
X = 1
A = B = 3
Then the answer to the question is YES

IF....
X = 1
A = B = 1
Then the answer to the question is NO
Fact 1 is INSUFFICIENT

Fact 2: 2AX = 6

Simplifying, we know that AX = 3

IF...
X = 1
A = 3
B = 3
Then the answer to the question is YES

X = 1
A = 3
B = 2
Then the answer to the question is NO
Fact 2 is INSUFFICIENT

Combined, we know...
A = B
AX = 3

Since AX = 3 and A=B, we know that BX also = 3
Plugging those 'values' into the question gives us....
Is 3 = 6 - 3?
Combined, SUFFICIENT

[Reveal] Spoiler:
C

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Is ax = 6 - bx ? [#permalink]

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19 Sep 2016, 09:51
C is correct. Here's why:

(1) a =b

NOT SUFFICIENT - we don't know what 2ax is equal to

(2) 2ax = 6

NOT SUFFICIENT - we don't know what bx is equal to

Together - (1) + (2) - We know ax = bx = 3, so 3 + 3 = 6

SUFFICIENT
Is ax = 6 - bx ?   [#permalink] 19 Sep 2016, 09:51
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