For any natural numbers m , n m, n m , n , and k k k , such that k k k divides both m + 2 n m + 2n m + 2 n and 3 m + 4 n 3m + 4n 3 m + 4 n , k k k mus...

Question

For any natural numbers

m,nm, n
, and
kk
, such that
kk
divides both
m+2nm + 2n
and
3m+4n3m + 4n
,
kk
must be a common divisor of:

Options

A.

2m and 3n

B.

m and 2n

C.

2m and n

D.

m and n

cat 2024divisibility

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