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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If 42.42 = k(14 + m/50), where k and m are positive integers  Question banks Downloads My Bookmarks Reviews Important topics
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If 42.42 = k(14 + m/50), where k and m are positive integers [#permalink]
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Expert's post 00:00

Question Stats: 66% (00:37) correct 33% (01:49) wrong based on 27 sessions
If $$42.42 = k(14 + \frac{m}{50})$$, where $$k$$ and $$m$$ are positive integers and $$m < 50$$, then what is the value of $$k + m$$ ?

(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
[Reveal] Spoiler: OA

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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Intern Joined: 06 Feb 2018
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Re: If 42.42 = k(14 + m/50), where k and m are positive integers [#permalink]
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Great question!

Start out by simplifying the equation you get
42.42*50 = (14*50 +m)*k
2121 = (700 +m)*k
Factors of 2121 = 3*7*101 => 707*3
so (700+m)*k can be write (700+7)*3
so m = 7 and k = 3 hence m+k = 10 Manager Joined: 26 Jan 2018
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Re: If 42.42 = k(14 + m/50), where k and m are positive integers [#permalink]
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42.42 = 42 + 0.42

=42 42/100 as mixed fraction or 42 21/50

3*14 = 42.
Hence k =3.
3*m = 21.

Hence m =7

On addind both we get 10. Re: If 42.42 = k(14 + m/50), where k and m are positive integers   [#permalink] 28 May 2018, 22:10
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# If 42.42 = k(14 + m/50), where k and m are positive integers  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.