Divisibility by 12

Replace the letters A and B by digits so that the resulting number x is divisible by twelve /find all options/.

x = 2A3B

How many are the overall solutions?

Result

n =  6

Solution:

A=1, B=6, x=2136; x/12 = 178
A=2, B=2, x=2232; x/12 = 186
A=4, B=6, x=2436; x/12 = 203
A=5, B=2, x=2532; x/12 = 211
A=7, B=6, x=2736; x/12 = 228
A=8, B=2, x=2832; x/12 = 236




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