A balloon with its contents weighing 160 N is moving down with an acceleration of g/2 ms^-2. The mass to be removed from it so that the balloon moves up with an acceleration of g/3 ms^-2 is

Let constant force acting upward  on the balloon is F

$160-\mathrm{F}=16\times \frac{\mathrm{g}}{2}\Rightarrow \mathrm{F}=80\mathrm{N}$

Let the mass of balloon after removing some be m.

balloon moves upward due to force F with acceleration $\frac{\mathrm{g}}{3}{ \mathrm{ms}}^{-2}$

$\mathrm{F}-\mathrm{mg}=\mathrm{m}\frac{\mathrm{g}}{3}$

$\Rightarrow \mathrm{F}=\frac{4\mathrm{mg}}{3}\Rightarrow \mathrm{m}=6\mathrm{kg}$

So, the mass removed from the balloon will be 16-6=10kg