If k,m, and t are positive integers and k/6+m/4=t/12 , do t : DS Archive
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# If k,m, and t are positive integers and k/6+m/4=t/12 , do t

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If k,m, and t are positive integers and k/6+m/4=t/12 , do t [#permalink]

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16 Sep 2004, 07:42
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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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16 Sep 2004, 07:45
2k+3m=t

if k is a multiple of 3 t is a multiple of 3 and we can conclude

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16 Sep 2004, 07:47
A.

2k + 3m = t
For t an 12 to haev a common factor, we should know if t has 2, 3, 4, 6 or 12 in it.

With A, if K is a multiple of 3, 3 can be a common factor in the above equation and the answer is Yes.

With B, if m is a multiple of 3, it may/may not have common factor
16 Sep 2004, 07:47
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