What is the value that must be assigned to A so that the 8-digit number 753A3228 is divisible by 18?
6
A number is divisible by 18 if it is divisible by both 2 and 9. The number 753A3228 is even, so it is already divisible by 2.
For divisibility by 9, the sum of digits must be a multiple of 9: 7+5+3+A+3+2+2+8 = 30 + A. For this to be a multiple of 9, A = 6 (giving 36).
Hence, this is the correct answer.
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