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The original number, written as " T U ", has the value (10T + U). When you reverse the digits, the new number has the value (10U + T). Adding the two numbers: (10T + U) + (10U + T) = 55 11T + 11U = 11(T + U) = 55 T + U = 5 All possible two-digit numbers that satisfy (T + U = 5) are: 1423 32 41

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