My friend and I both have the same math homework one day. I work at a rate of \( p \) problems per hour and it takes me \( t \) hours to finish my homework. My friend works at a rate of \( 2p - 4 \) problems per hour and it only takes him \( t - 2 \) hours to finish his homework. Given that \( p \) and \( t \) are positive whole numbers and I do more than 10 problems per hour, how many problems did I do? Let's think step by step and output the final answer within \boxed{}.
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