Number Theory
# Number Bases

\[11 + 1 = 100\] In which base is this equation true?

\[66 + 66 = 143\] In which base is this equation true?

\[12 \times 3 = 40\] In which base is this equation true?

\[12 \times 9 = A2\] In which base is this equation true?

**Note**: In this equation, \(A\) is a digit representing the number written as 10 in base 10.

\[88 + 8 = 90\] In which base is this equation true?

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