Can u share Game Center and it saves each persons games

Like I have walking war robots and clash of clans and. Few more gMes on my Game Center and my moms. If I share the share option will it. Still keep both of our progress from each other's games or will it delete r progress. I have spent some money on them hate to start all over and loose mt place in the games so can we switch out from account to account from Game Center and still be where we both was at last in out games on our own accounts for Game Center or not ?