\(\begin{array}{l}
Dat\,n_{Al}=x(mol);n_{Mg}=y(mol)\\
\to 27x+24y=7,8(1)\\
Mg+2HCl\to MgCl_2+H_2\\
2Al+6HCl\to 2AlCl_3+3H_2\\
m_{H_2}=7,8-7=0,8(g)\\
\to n_{H_2}=\frac{0,8}{2}=0,4(mol)\\
Theo\,PT:\,1,5x+y=0,4(2)\\
(1)(2)\to x=0,2(mol);y=0,1(mol)\\
\to m_{Mg}=0,1.24=2,4(g);m_{Al}=7,8-2,4=5,4(g)
\end{array}\)