Two swimmers, Alice and Bob, are swimming towards each other in a pool that is 100 meters long. Alice starts from one end swimming at a constant speed of 2 meters per second, while Bob starts from the other end swimming at a constant speed of 3 meters per second. Both start at the same time. If they meet at some point in the pool, at what distance from Alice's starting point do they meet? Let's think step by step and output the final answer within \boxed{}.
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