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If k, m, and t are positive integers and (k/6)+(m/4) =(t/12) [#permalink]
 24 Aug 2006, 10:43
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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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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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Senior Manager
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Yup A is the right answer thanks
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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
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