in the addition problem on the right, each letter stands for a digit and different letters stand for different digits. What digits do the letters H,E, and A each represent?
H E
H E
H E
+ H E
____________
A E

Answer:

This problem is easy but I'll demonstrate an approach for simplifying these kind of problems that can be applied to problems of higher complexity.

Key: Notice that you can write AH as 10A + H and HEE as 100H + 10E+E, and thus

AH +A = HEE

10A + H + A = 100H + 10E +E

11A + H = 100H + 11E

11A = 99H + 11E

A = 9H + E

As H can not be 0 (it is the leading digit in HEE), A must be at least and therefore exactly 9 and the problem solves itself from there on.

Step-by-step explanation:

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