Solution

In the addition problem below, different letters stand for different digits. AH represents a two-digit number and HEE represents a three-digit number. What number does HEE represent?

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The leftmost digit of HEE is obtained from adding a one-digit carry to a one-digit . It may only be . Therefore, . But in order to get a carry from the tens column to the hundreds column in the first place, A has to be . It then follows that E = .

Answer: HEE = 100.

References