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He grew up with Rangiku Matsumoto, and they entered the academy at the same time, so they are likely around the same age. However, there is no evidence of this, as far as I know, because they could have first come to the soul society at different times. I do not believe there has been any specific age revealed for him, but I cannot be certain. I do know that he is younger than Aizen, which is pretty obvious once one reads or watches the Turn Back the Pendulum arc.