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# What is the value of [3(k + m) + 4k]/[2k + m]?

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Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4667
What is the value of [3(k + m) + 4k]/[2k + m]?  [#permalink]

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08 Apr 2015, 14:16
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Difficulty:

25% (medium)

Question Stats:

72% (01:05) correct 28% (00:48) wrong based on 112 sessions

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What is the value of $$\frac{3(k + m) + 4k}{2k + m}$$?

Statement #1: k + m = 9
Statement #2: k = 2m

For a set of #12 challenging DS problems, on the theme of Rephrasing the Question, including the TE for this particular problem, see:
http://magoosh.com/gmat/2015/gmat-data- ... uestion-2/

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Joined: 17 Mar 2015
Posts: 121
What is the value of [3(k + m) + 4k]/[2k + m]?  [#permalink]

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09 Apr 2015, 03:19
transform the given expression into $$\frac{6k+3m+k}{2k+m} = 3 + \frac{k}{2k+m}$$
#1 doesn't help
#2 does

B
Senior Manager
Joined: 15 Jan 2017
Posts: 367
Re: What is the value of [3(k + m) + 4k]/[2k + m]?  [#permalink]

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10 Oct 2017, 10:50
Straight substitution:
1) k + m = 9; k = 9-m
3(9) + 4(9-m)/ 2(9 - m)+ m => 63 -4m/ 18 - m. Not suff

2) k = 2m
3(3m)+ 8m/ 5m => 17/5. Defined value. so Suff.
Ans B.
Re: What is the value of [3(k + m) + 4k]/[2k + m]? &nbs [#permalink] 10 Oct 2017, 10:50
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