\(\Leftrightarrow\left(10a+b\right).\left(10a+b\right)=600+10a+b\)
\(\Leftrightarrow10a.\left(10a+b\right)+b.\left(10a+b\right)=600+10a+b\)
\(\Leftrightarrow100a+10ab+10ab+b^2=600+10a+b\)
\(\Leftrightarrow90a+20ab+b+b.\left(b-1\right)=600+b\)
\(\Leftrightarrow90a+20ab+b.\left(b-1\right)=600\)
\(\Rightarrow\frac{ }{ab}=25\)
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