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Question
Solve each of the following Cryptarithm:
A B 7
+ 7 A B
9 8 A
Sum
Solution
\[\text{ If }A + B = 8, A + B \geq 9\text{ is possible only if }A = B = 9\]
\[\text{ But from }7 + B = A, A = B = 9\text{ is impossible }\]
\[\text{ Surely, }A + B = 8, A + B \leq 9\]
\[\text{ So, }A + 7 = 9, \text{ Surely }A = 2\]
\[7 + B = A, 7 + B = 2, B = 5\]
\[\text{ So, } A = 2, B = 5\]
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