Answer to Question #35594 in Electromagnetism for Reem
After A and B touched each other, they had equal potentials.
If after that they repel each other, they have equal charge. If initial value of charge of rod is larger than the charge of ball, the final charges of two bodies are positive, because summary charge are constant. If initial value of charge of rod is smaler than the charge of ball, the final charges of two bodies are negative.
if the two charges had equal magnitude, after contact the ball and rod don't interact because they became electrically neutral (summary charge is zero, charges after contact of bodies are zero).
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