[tex]a + b + c = 198 \\ \\ c = b + 123 \\ \\ a + 2b + 123 = 198 \\ \\ a + 2b = 198 - 123 = 75 \\ \\ a + 2b = 75 \\ \\ 75 \div 3 = 25 \\ \\ a = 25 \\ \\ b = 123 + 25 = 148 \\ \\ c = 25 \\ \\ 2a + b + 3c = 2 \times 25 + 148 + 3 \times 25 = \\ \\ 50 + 148 + 75 = 273[/tex]