\(a,\) \(ƯCLN\left(a,b\right)=18\Rightarrow\left\{{}\begin{matrix}a=18m\\b=18n\end{matrix}\right.;\left(m,n\right)=1\)
Thay vào \(a+b=162\)
\(\Rightarrow18\left(m+n\right)=162\\ \Rightarrow m+n=9\)
Vì \(\left(m,n\right)=1\)
| m | n | a | b |
| 1 | 8 | 18 | 144 |
| 2 | 7 | 36 | 126 |
| 4 | 5 | 72 | 90 |
| 5 | 4 | 90 | 72 |
| 7 | 2 | 126 | 36 |
| 8 | 1 | 144 | 18 |
Vậy \(\left(a;b\right)=\left\{\left(18;144\right);\left(36;126\right);\left(72;90\right);\left(90;72\right);\left(126;36\right)\left(144;18\right)\right\}\)
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