While solving some problems on electrostatics, I came across this question :
Two balls carrying charges of +3 $\mu C$ and -3$\mu C$ attract each other with a force $F$. If a charge of +3$\mu C$ is added to both the balls, the force between the balls will be
Out of these, the obvious option seems to be zero, as the charge on one ball cancels out, and this is the answer given in the solution. But on deeper thought, I realized that the charged ball could still attract the neutral ball through the phenomenon of induction. So, the answer should not be zero. Am I thinking correctly? And if I am, then what could be the correct answer?