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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive inte

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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 9006
GMAT 1: 760 Q51 V42
GPA: 3.82
The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive inte  [#permalink]

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Difficulty:   5% (low)

Question Stats: 93% (01:05) correct 7% (02:17) wrong based on 42 sessions

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The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. If the average (arithmetic mean) of them is 18, what is the value of a?
A. 3
B. 6
C. 9
D. 12
E. 15

*An answer will be posted in 2 days.

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Intern  Joined: 30 Apr 2016
Posts: 8
Re: The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive inte  [#permalink]

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(2+3+4)x =18*3
x=6
=>a=2x=2*6=12

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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 9006
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive inte  [#permalink]

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a=2k, b=3k, c=4k, a+b+c=2k+3k+4k=(18)(3), 9k=18(3), k=6. Therefore, a=2k=2(6)=12, and the correct answer is D.
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Intern  Joined: 20 Jan 2016
Posts: 39
GMAT 1: 600 Q47 V26
Re: The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive inte  [#permalink]

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D. 12
simply 3x will be the AM

X=6
a=2x=12

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Director  B
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 516
GPA: 2.81
Re: The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive inte  [#permalink]

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MathRevolution wrote:
The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. If the average (arithmetic mean) of them is 18, what is the value of a?
A. 3
B. 6
C. 9
D. 12
E. 15

*An answer will be posted in 2 days.

Plugging in Answer Choice worked for me

Here given a:b:c=2:3:4 ,So a:b:c=1:$$\frac{3}{2}$$:2

Now by putting value of a=12 on the ratio we can find that only answer choice D matched with a:b:c=12:18:24 ,arithmetic mean of them is $$\frac{12+18+24}{3}$$=18

Manager  B
Joined: 25 Jun 2016
Posts: 60
GMAT 1: 780 Q51 V46
Re: The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive inte  [#permalink]

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If a list of numbers is 'evenly spaced out,' then the average equals the median. (e.g. in the list {7, 14, 21, 28, 25}, 21 is immediately apparent as the average because each term is separated from the preceding term by the same number)

In this question, a, b and c are evenly spaced out, so we know that b is the average. Therefore b's real value is 18. this means our multiplier is 6. So a is 2*6=12. Re: The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive inte   [#permalink] 03 Jul 2016, 06:33

# The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive inte  