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Let's represent the two 4-digit numbers as ABCD and WXYZ, where A, B, C, D, W, X, Y, and Z are digits. The difference between the two numbers is 5639, so we can write the equation as 1000A + 100B + 10C + D - (1000W + 100X + 10Y + Z) = 5639. Simplifying this equation, we get 1000(A-W) + 100(B-X) + 10(C-Y) + (D-Z) = 5639. Since the difference between the two numbers is 5639, and the numbers are 4-digit numbers, we can conclude that the numbers are 8194 and 2555.
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