\(\text{Theo đề ta có: }a=12k+8\)
\(\text{Theo đề ta có: }b=24k+10\)
\(\text{Ta có: }\)
\(a+b=12k+8+24k+10=k(12+24)+18=36k+18\)
\(\text{Ta có: }36k\ \vdots\ 6;\ 18\ \vdots\ 6\)
\(\Rightarrow (36k+18)\ \vdots\ 6\)
\(\Rightarrow (a+b)\ \vdots\ 6\)
\(\text{Ta có: }36k\ \vdots\ 12;18\ \text{không }\vdots\ 12\)
\(\Rightarrow (36k+18)\ \text{không }\vdots\ 12\)
\(\Rightarrow (a+b)\ \text{không }\vdots\ 12\)
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