Centre of mass of 3 particles 10 kg, 20 kg and 30 kg is at (0, 0, 0). Where should a particle of mass 40 kg be placed so that the combination centre of mass will be at (3,3,3)

The coordinates of centre of mass of three particles of masses 1 kg, 2 kg, 3 kg are (2m, 2m, 2m). Where should a fourth particle of mass 4 kg be placed so that the coordinates of centre of mass are (4m, 4m, 4m)?

If the centre of mass of three particles of masses of 1kg, 2kg, 3kg is at (2,2,2) , then where should a fourth particle of mass 4kg be placed so that the combined centre of mass may be at (0,0,0).

The centre of mass of three particles of masses 1kg, 2 kg and 3kg lies at the point (3m, 3m, 3m). Where should a fourth particle of mass 4 kg be positioned so that the centre of mass of the four particle system lies at the point (1m, 1m, 1m)?

The centre of mass of three particles of masses 1 kg, 2kg and 3 kg lies at the point (3m, 3m, 3m) where should a fourth particles of mass 4 kg be positioned so that centre of mass of the four particle system at (1m, 1m, 1m) ?

Centre of mass of three particles of masses 1 kg, 2 kg and 3 kg lies at the point (1,2,3) and centre of mass of another system of particles 3 kg and 3 kg lies at the point (-1, 3, -2) . Where should we put a particle of mass 5 kg so that the centre of mass of entire system lies at the centre of mass of first system ?