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There are 45 even two-digit numbers. The smallest even two-digit number is 10, and the largest is 98. To find the total, you can list the even numbers: 10, 12, 14, ..., 98, which forms an arithmetic sequence where the first term is 10, the last term is 98, and the common difference is 2. The number of terms in this sequence can be calculated as ((98 - 10) / 2 + 1 = 45).

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