What is the sum of the smallest four-digit multiple of 10 and the largest two-digit multiple of 4?

The smallest four-digit number is 1000. This number is a multiple of ten, that is, 1000 can be divided by 10 without a remainder.

The largest two-digit number is 99. However, 99 is not a multiple of four, that is, it cannot be divided by 4 without a remainder, as well as the following numbers 98 and 97. The number 96 is divisible by 4. This is the largest two-digit number that is a multiple of four.

The sum of these numbers is 1000 + 96 = 1096.

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