Consider a system of two particles with masses $m_1$ and $m_2$ at positions $x_1$ and $x_2$ respectively along the x-axis. The position of their center of mass ($X_{CM}$) is given by:
For a two-particle system, the general formula $R = \frac{1}{M} \sum m_i r_i$ simplifies to $X_{CM} = \frac{m_1 x_1 + m_2 x_2}{m_1 + m_2}$ for coordinates along a single axis. This is consistent with the initial discussion on the center of mass in the NCERT text.