MICH-AELJ=AMES. If each letter represents a digit between 1 and 9, there may or may not be a solution.
Using the letters of the alphabet to represent the numbers 0 to 25, we can convert the sum:
MICHAEL+JAMES=MILHMJD.
(We can write this as:
12080207000411
+ 0900120418
12081107110829=12081107110903=MILHMJD.)
Or we can convert the letter-numbers into decimal: 3803077419+4121018=3807198437.
When this is converted back to letters we get MILHMJD.