\(\text{Vì ƯCLN}(a,b)=25\)
\(\Rightarrow\hept{\begin{cases}a=25k\\b=25q\end{cases}(}ƯCLN(k,q)=1,k>q)\)
\(\text{Mà a + b = 200}\Rightarrow25k+25q=200\)
\(\Rightarrow25(k+q)=200\Rightarrow k+q=200\div25=8\)
Mà k > p
\(+)\Rightarrow\hept{\begin{cases}k=7\\q=1\end{cases}}\Rightarrow\hept{\begin{cases}a=7\cdot25\\b=1\cdot25\end{cases}}\Rightarrow\hept{\begin{cases}a=175\\b=25\end{cases}}\)
\(+)\Rightarrow\hept{\begin{cases}k=6\\q=2\end{cases}}\Rightarrow\hept{\begin{cases}a=6\cdot25\\b=2\cdot25\end{cases}}\Rightarrow\hept{\begin{cases}a=150\\b=50\end{cases}}\)
\(+)\Rightarrow\hept{\begin{cases}k=5\\q=3\end{cases}}\Rightarrow\hept{\begin{cases}a=5\cdot25\\b=3\cdot25\end{cases}}\Rightarrow\hept{\begin{cases}a=125\\b=75\end{cases}}\)
Vậy : ...
