Taking as an example the equilibrium set up when $\ce{BaSO4}$ is added to water:
$$\ce{ BaSO4(s) <=> Ba^{2+}(aq) + SO^{2-}_4(aq) }$$
The solubility product constant is $[\ce{Ba^{2+}}][\ce{SO^{2-}_4}]$.
If I then add additional $\ce{Ba^{2+}}$ ions to the solution, what will happen to the concentrations of the products once equilibrium is restored, since the product of their concentrations is constant. Will the concentration $[\ce{Ba^{2+}}]$ remain larger than its original value before the addition of barium ions and the $[\ce{SO^{2-}_4}]$ become smaller than its original value to compensate and keep the solubility product constant?