\(n_{Al}=a\left(mol\right),n_{Fe}=b\left(mol\right)\)
\(m_X=27a+56b=11\left(g\right)\left(1\right)\)
\(n_{H_2}=\dfrac{8.96}{22.4}=0.4\left(mol\right)\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(\Rightarrow a+1.5b=0.4\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.1,b=0.2\)
\(n_{HCl}=2n_{H_2}=2\cdot0.4=0.8\left(mol\right)\)
\(m_{dd_{HCl}}=\dfrac{0.8\cdot36.5\cdot100}{14.6}=200\left(g\right)\)
\(\%Fe=\dfrac{0.1\cdot56}{11}\cdot100\%=50.91\%\)
\(\%Al=49.09\%\)