THE LETTERS A TO K REPRESENTS A DIGIT. WHAT DIGIT DOES EACH LETTER REPRESENT? THERE IS MORE THAN ONE POSSIBLE ANSWER.

A) A A A A
+ B B B B
C C C C

A=? B=? C=?

B) D D D
+ E E E
F F F G

D=? E=? F=? G=?

C) H H H
+ I I I
J H H K

H=? I=? J=? K=?

The way you present your problem is confusing to me.

First, do not use all capitals. It is harder to read and is perceived as SHOUTING online.

Second, your math notation is unclear. Do you mean:

A^4 + B^4 * C^4 ?
or
AAAA + BBBB * CCCC?

(* = times, A^4 = A to the fourth power)

It would help if you reposted in clearer terms.