# Crypto-life
Number Theory
Level
1
Find the sum BAAC in the following cryptogram:
The answer is 1998.
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From the rightmost column, A + B = 10
From either of the next two columns, C = A - 1
And since (A + B + C) is at most 18, B has to equal 1. (The carry for the leftmost column is 1.)
So B = 1, A + 1 = 10 so A = 9, C = 9 - 1 so C = 8.
Sum is 999 + 111 + 888 = 1998