Actually,
in the question the given quantity is the mass of the man and not the weight
because unit of weight is N and unit of mass is Kg
As mass is same everywhere so the man would weigh 70 kg on moon as well as on earth.
acceleration due to gravity(g)=9.8 m/s2
Weight of man on earth(We)=mg
=70*9.8
=686 N
Weight of man on moon(Wm)=686/6
because the acceleration due to gravity of moon is 1/6 th of acceleration due to gravity of earth
=114.34 N (approx.)