If digits A,B, and C are added, the sum is the two-digit number AB as shown at the right. What is the value of C?
Given A+B+C = AB
AB means 10th digit is A and B is the units digits, AB is 10A+B
i.e; A+B+C = 10A+B
A+C = 10A
C = 9A
As C is a single digit number, A can be only 1.
If A = 1, C = 9.
Hence C is 9.
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