Given that the rational numbers a, B, C satisfy | A-1 | + | B-3 | + | C-4 | = 0, calculate 2A + 3B + 4C

Given that the rational numbers a, B, C satisfy | A-1 | + | B-3 | + | C-4 | = 0, calculate 2A + 3B + 4C

∵ rational numbers a, B, C satisfy | A-1 | + | B-3 | + | C-4 | = 0
∴a-1=0 b-3=0 c-4=0
a=1 b=3 c=4
∴2a+3b+4c=2*1+3*3+4*4=2+9+16=27