Magic Algebra Fun

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You are given with the following sum. Each of the letters can be decoded as a digit. If we tell you that D = 5, then can you solve it entirely?

DONALD
+GERALD
=ROBERT

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    Solution: We have been told that D=5
    D+D = T  >> 5+5 = 0 (1) so  T = 0 since L+L gives us an even result and we add 1 from the sum of T+T so R must be an odd number.
    Now, D+G < 10 >> 5+G < 10 =R so R can be 7 or 9, but since O+E =O than means that E is 9 so R can only be 7 and since O+E > 10 than means that G must be 1.
    We see that A+A = E, but since A+A will result an even number but the sum is an odd number (E=9) than L+L must create a carry. So  L+L+1 = R=7 that L is not 3 but L=8 and A is oncourse 4

    so the final is:
    5 2 6 4 8 5
    + 1 9 7 4 8 5
    ==========
    7 2 3 9 7 0

    Moshe Expert Answered on 5th February 2023.
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