june 2002 q21.
P is density through out this question.
P=M/V
so V=M/P
the Final Volume = M/P + M/2P (densities stated in the question)
and this equals 3M/2P
the Final Density i.e P Final is equal to 2M/3M/2P (2M because they are combined together and they have both a mass of M and 3M/2P from the previous step i.e final volume)
therefore, P Final= 4/3 (2/(3/2))
hope its clear