GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 13 Dec 2019, 03:49

### 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

# If 2^(2x+1)*3^(2y-1) = 8^x*27^y, then x + y =

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59722
If 2^(2x+1)*3^(2y-1) = 8^x*27^y, then x + y =  [#permalink]

### Show Tags

04 Nov 2014, 09:56
00:00

Difficulty:

5% (low)

Question Stats:

89% (01:31) correct 11% (01:47) wrong based on 103 sessions

### HideShow timer Statistics

Tough and Tricky questions: Exponents.

If 2^(2x+1)*3^(2y-1) = 8^x*27^y, then x + y =

A. -3
B. -1
C. 0
D. 1
E. 3

Kudos for a correct solution.

_________________
Intern
Joined: 02 Jul 2014
Posts: 24
Location: United States
GPA: 3.24
WE: Engineering (Computer Software)
Re: If 2^(2x+1)*3^(2y-1) = 8^x*27^y, then x + y =  [#permalink]

### Show Tags

04 Nov 2014, 10:07
1
Bunuel wrote:

Tough and Tricky questions: Exponents.

If 2^(2x+1)*3^(2y-1) = 8^x*27^y, then x + y =

A. -3
B. -1
C. 0
D. 1
E. 3

Kudos for a correct solution.

Ans : C
Here is my solution.

2^(2x+1)*3^(2y-1) = 8^x*27^y
Here RHS 8^x*27^y= 2^(3x)*3^(3y)

Equating powers on both sides-->
2x+1=3x , thus x=1 and
2y-1=3y giving y=-1

So, x+y=0
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1727
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If 2^(2x+1)*3^(2y-1) = 8^x*27^y, then x + y =  [#permalink]

### Show Tags

10 Nov 2014, 00:10
$$2^{2x+1} * 3^{2y-1} = 8^x * 27^y$$

$$2^{2x+1} * 3^{2y-1} = 2^{3x} * 3^{3y}$$

Equating powers of same bases

2x+1 = 3x

x = 1

2y-1 = 3y

y = -1

x+y = 0

Non-Human User
Joined: 09 Sep 2013
Posts: 13742
Re: If 2^(2x+1)*3^(2y-1) = 8^x*27^y, then x + y =  [#permalink]

### Show Tags

29 Nov 2019, 10:02
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.
_________________
Re: If 2^(2x+1)*3^(2y-1) = 8^x*27^y, then x + y =   [#permalink] 29 Nov 2019, 10:02
Display posts from previous: Sort by