Consider a bullet fired from a gun. If the bullet and gun system were initially at rest, and $p_b$ is the momentum of the bullet after firing and $p_g$ is the recoil momentum of the gun, what is the relationship between their momenta based on the law of conservation of momentum?
The NCERT states: 'Thus if $p_b$ is the momentum of the bullet after firing and $p_g$ is the recoil momentum of the gun, $p_g = -p_b$ i.e. $p_b + p_g = 0$. That is, the total momentum of the (bullet + gun) system is conserved.' This implies that the initial total momentum (zero) equals the final total momentum.