The identical spheres each of mass 2 M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to 4 m each.…

The identical spheres each of mass $\displaystyle 2$ M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to $\displaystyle 4$ m each. Taking point of intersection of these two sides as origin, the magnitude of position vector of the centre of mass of the system is $\displaystyle \frac{4 \sqrt{2}}{x}$, where the value of $\displaystyle x$ is $\displaystyle \_\_\_\_$