Answer
The same is still true at a given spot on Mars.
Work Step by Step
The weight of an object can be calculated by this formula: $$W=mg$$
where $m$ is the mass of the object and $g$ is the gravitational acceleration in a certain place.
So when $W_A=2W_B$ at a spot on earth where $g$ is constant, it means $m_A=2m_B$
Since $m_A=2m_B$ is also true on Mars and $g_{Mars}$, though different from $g_{earth}$, stays unchanged at one spot, we will still have $W_A=2W_B$
