Weight of object=mg. If g is less then the weight is less.
Why g is less at the equator -
Earth is not perfectly spherical.
It has less radius on poles and More on equator
So due to less radius on poles the g experienced is More as the surface is closer to the center of earth compared to the equator .
Second reason is that Earth is spinning with more angular velocity at equator are it decrease as we move towards the poles.
This increased angular velocity at equator produces a force a outward centrifugal force which decreases the effect of g