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If k, m, and t are positive integers and (k/6)+(m/4) =(t/12)

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Senior Manager
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If k, m, and t are positive integers and (k/6)+(m/4) =(t/12) [#permalink] New post 24 Aug 2006, 09:43
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If k, m, and t are positive integers and (k/6)+(m/4) =(t/12) , do t and 12 have a common factor greater than 1 ?
(1) k is a multiple of 3.
(2) m is a multiple of 3.
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 [#permalink] New post 24 Aug 2006, 12:53
k/6 + m/4 = t/12

2k + 3m /12 = t/12
2k + 3m = t

1) if k is a multiple of 3 => 3(2*f + m) = t SUFF
12 and t have a common factor 3

2) m is a mulitple of 3 we do not know if there is a common factor so INSUFF

ans : A
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 [#permalink] New post 24 Aug 2006, 20:25
Yup A is the right answer thanks
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 [#permalink] New post 26 Aug 2006, 10:55
A it is....

From the original eqn.


t=2k+3m

from 1 k=3k1

t=3[2k+m]

3 is a factor of t, its also a factor of 12, suff

from 2
t=2k+9m....INSUFF
  [#permalink] 26 Aug 2006, 10:55
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If k, m, and t are positive integers and (k/6)+(m/4) =(t/12)

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