https://olm.vn/hoi-dap/detail/57014713299.html
Vì ƯCLN(a,b) = 16 \(\Rightarrow\left\{{}\begin{matrix}a=16.m\\b=16.n\end{matrix}\right.\left(m,n\in N\right);\left(m,n=1\right)\)
Vì a + b = 128
\(\Rightarrow16.m+16.n=128\)
\(\Rightarrow16.\left(m+n\right)=128\)
\(\Rightarrow m+n=128:16\)
\(\Rightarrow m+n=8\)
Ta được \(\left\{{}\begin{matrix}m=5\\n=3\end{matrix}\right.\)
\(\left\{{}\begin{matrix}m=7\\n=1\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}a=16.5=80\\b=16.3=48\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}a=16.7=112\\b=16.1=16\end{matrix}\right.\)
Vậy \(\left\{{}\begin{matrix}a=80\\b=48\end{matrix}\right.\)
\(\left\{{}\begin{matrix}a=112\\b=16\end{matrix}\right.\)
