Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 24 May 2016, 03:03

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Is ax = 6 - bx ?

Author Message
TAGS:

### Hide Tags

Director
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 513
Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
Followers: 25

Kudos [?]: 575 [0], given: 630

Is ax = 6 - bx ? [#permalink]

### Show Tags

24 Oct 2013, 17:35
2
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

57% (01:56) correct 43% (01:10) wrong based on 168 sessions

### HideShow timer Statistics

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: 32959
Followers: 5743

Kudos [?]: 70345 [1] , given: 9843

Re: Is ax = 6 - bx ? [#permalink]

### Show Tags

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.

_________________
Director
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 513
Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
Followers: 25

Kudos [?]: 575 [0], given: 630

Re: Is ax = 6 - bx ? [#permalink]

### Show Tags

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.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 9607
Followers: 465

Kudos [?]: 120 [0], given: 0

Re: Is ax = 6 - bx ? [#permalink]

### Show Tags

13 Jan 2015, 16:27
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 6380
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 267

Kudos [?]: 1884 [0], given: 160

Re: Is ax = 6 - bx ? [#permalink]

### Show Tags

13 Jan 2015, 20:58
Expert's post
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

GMAT assassins aren't born, they're made,
Rich
_________________

# Rich Cohen

Co-Founder & GMAT Assassin

# Special Offer: Save $75 + GMAT Club Tests 60-point improvement guarantee www.empowergmat.com/ ***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*********************** Intern Joined: 28 Sep 2014 Posts: 14 D: M GMAT 1: 660 Q49 V31 WE: Information Technology (Consulting) Followers: 0 Kudos [?]: 1 [0], given: 61 Re: Is ax = 6 - bx ? [#permalink] ### Show Tags 16 Jul 2015, 09:01 1) a= b 2)2ax=6 stem 1: a=b ; we dont know about X ; not sufficient stem 2: 2ax=6 ; we dont know about b ; not sufficient Clubbing stem 1 and stem2 : 2ax=6 ; ie ax= 6-ax and a=b so ax =6-bx hence C is the option Optimus Prep Instructor Joined: 06 Nov 2014 Posts: 1411 Followers: 31 Kudos [?]: 285 [0], given: 20 Is ax = 6 - bx ? [#permalink] ### Show Tags 17 Jul 2015, 07:41 Expert's post Is ax = 6 - bx ? (1) a = b We can rewrite the equation as ax + bx = 6 ? Since a=b the outcome is dependent on x. Since we have no information on x, this statement is not sufficient. (2) 2ax = 6 This means ax = 3 bx + 3 = 6 ? We have no information on b or x so this statement is not sufficient. Statements 1 and 2 together are sufficient. ax + bx =6 ? : ax = 3, and a=b therefore bx = ax 3 + 3 = 6 _________________ # Janielle Williams Customer Support Special Offer:$80-100/hr. Online Private Tutoring
GMAT On Demand Course \$299
Free Online Trial Hour

Is ax = 6 - bx ?   [#permalink] 17 Jul 2015, 07:41
Similar topics Replies Last post
Similar
Topics:
Is ax = (7 + 5bx)/4 1 13 Feb 2016, 06:05
4 If 10 - ax = bx then what is value of |a-b|? 5 27 Jun 2015, 14:49
1 Is 10 − ax = bx? 4 27 Jun 2015, 14:31
8 If PQ is a diameter of the circle above, and the lengths of AX, BX, PX 7 01 May 2015, 02:10
2 Is a^x > b^x? 1 22 Jul 2013, 08:05
Display posts from previous: Sort by