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

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If 72.42 = k , where k and n are positive integers and [#permalink] New post 13 Dec 2003, 21:27
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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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 [#permalink] New post 13 Dec 2003, 23:17
14.

7242=2400*K+K*N
only possible value for K is 3
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 [#permalink] New post 13 Dec 2003, 23:22
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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 [#permalink] New post 13 Dec 2003, 23:23
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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 [#permalink] New post 13 Dec 2003, 23:24
np - I know you're a wiz at this! :-D

besides it's 1:30 in the morning! and we're on a GMAT forum. hahahaha.
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 [#permalink] New post 14 Dec 2003, 11:11
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
  [#permalink] 14 Dec 2003, 11:11
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