If 2A4B367 is divisible by 11, then find the value of (A + B).

Apply the divisibility-by-11 rule: the difference between the sum of digits in odd positions and the sum in even positions must be a multiple of 11.

• Number digits from left to right: positions 1 to 7 are 2, A, 4, B, 3, 6, 7.

• Sum of digits in odd positions (1, 3, 5, 7): 2 + 4 + 3 + 7 = 16.

• Sum of digits in even positions (2, 4, 6): A + B + 6.

• Their difference is 16 − (A + B + 6) = 10 − (A + B). This must be a multiple of 11.

• Since A and B are digits, A + B is between 0 and 18. The only multiple of 11 that 10 − (A + B) can equal within this range is 0, which gives A + B = 10. Values 11 or −11 would require A + B = −1 or 21, which are impossible for digits.

• Therefore A + B = 10.