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# If 72.42 = k , where k and n are positive integers and

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Manager
Joined: 28 Apr 2003
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If 72.42 = k , where k and n are positive integers and [#permalink]

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13 Dec 2003, 20:27
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If 72.42 = k [24+ n/100], where k and n are positive
integers and n<100, then k+n =

a. 17
b. 16
c. 15
d. 14
e. 13

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Director
Joined: 13 Nov 2003
Posts: 957

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Location: Florida

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13 Dec 2003, 22:17
14.

7242=2400*K+K*N
only possible value for K is 3

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Director
Joined: 14 Oct 2003
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Location: On Vacation at My Crawford, Texas Ranch

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13 Dec 2003, 22:22
yes i agree dj - 3 is the only value for k. however, 3*2400 = 7200

however you need to add nk to 2400. 3*14=42

n+k=17

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Director
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13 Dec 2003, 22:23
Titleist wrote:
yes i agree dj - 3 is the only value for k. however, 3*2400 = 7200

however you need to add nk to 2400. 3*14=42

n+k=17

oh..thanks for correcting it. I did it in a rush

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Director
Joined: 14 Oct 2003
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Location: On Vacation at My Crawford, Texas Ranch

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13 Dec 2003, 22:24
np - I know you're a wiz at this!

besides it's 1:30 in the morning! and we're on a GMAT forum. hahahaha.

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SVP
Joined: 30 Oct 2003
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14 Dec 2003, 10:11
72.42 = K( 24 + n/100 )

72 + 42/100 = 24K + nk/100

24k = 72 so k = 3
nk/100 = 42/100 so nk = 42 since k=3 n=14
k+n = 14+3 = 17

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14 Dec 2003, 10:11
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