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# What is the value of x+2y?

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Math Expert
Joined: 02 Sep 2009
Posts: 52164
What is the value of x+2y?  [#permalink]

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09 Feb 2017, 00:25
00:00

Difficulty:

25% (medium)

Question Stats:

82% (01:05) correct 18% (01:17) wrong based on 51 sessions

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What is the value of x+2y?

(1) 3^x*9^y=27^12

(2) x=2y

_________________
Manager
Joined: 17 May 2015
Posts: 249
Re: What is the value of x+2y?  [#permalink]

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09 Feb 2017, 03:04
Bunuel wrote:
What is the value of x+2y?

(1) 3^x*9^y=27^12

(2) x=2y

Hi,
x + 2y = ?

Statement 1:
$$3^{x} \times 9^{y} = 3^{x} \times 3^{2y} = 3^{x+2y} = 27^{12} = 3^{36}$$

x + 2y = 36. Sufficient.

Statment2: clearly not sufficient.

Thanks.
Intern
Joined: 16 Jan 2017
Posts: 5
Re: What is the value of x+2y?  [#permalink]

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09 Feb 2017, 09:35
My approach is slightly different.

(1) (3^x) (9^y) = 27^12
(3^x) (9^y) = (3^12) (9^12)
-> 3^x = 3^12 -> x=12
-> 9^y = 9^12 -> y=12

x+2y= 12+2*12=36 sufficient

(2) x= 2y -> 2y + 2y = ? Not sufficient

Re: What is the value of x+2y? &nbs [#permalink] 09 Feb 2017, 09:35
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