Data Sufficiency

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.

beater wrote: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.

question stem: t =?

k/6 + m/4 = 2k+3m / 12 = t/12

t = 2k + 3m

statement (1)
k is a multiple of 3

if k is a multiple of 3 and we know m is already a multiple of 3, then t will also be a multiple of 3. Therefore, 12 and t will have common factor greater than 1. Sufficient.

Statement (2)
m is a multiple of 3. we already know m is a multiple of 3, we dont know anything about k. Insufficient.

Thus, A is the answer.

OA?

OA - A