(I) ABC - DBB = EFG + + + (II) ABB - ECC = BBB ----------------- (III) DBEB - HBB = IBC (IV) (V) (VI) Solution: (IV) D = 1 (IV.1) C = 0 (V.3) H = E + 1 (no carry) (I.3) A = E + 2 (with carry, as no carry gives H) (II.3) A = E + B (no carry) Equating the last two equations shows B = 2 (IV.2) E = 2B = 4 A = 6 H = 5 (I) F = 9, G = 8 (III) I = 7 620 - 122 = 498 + + + 622 - 400 = 222 ----------------- 1242 - 522 = 720 References: Jürgen Köller; Cryptogramme, www.mathematische-basteleien.de