Pluto's diameter is approximately 2370 km {\rm km}, and the diameter of its satellite Charon is 1250 km {\rm km}. Although the distance varies, they are often about 1.91×104km km apart, centre-to-centre.
1)Assuming that both Pluto and Charon have the same composition and hence the same average density, find the location of the centre of mass of this system relative to the centre of Pluto.