Let the first number be x;
Then, if we take half of the first number, we have;
[tex]\begin{gathered} \frac{1}{2}\times x \\ \frac{x}{2} \end{gathered}[/tex]Let the first number be y;
Also, if we double the second, then we have;
[tex]\begin{gathered} 2\times y \\ 2y \end{gathered}[/tex]Then, the sum of the two is 14, we have the equation as;
[tex]\frac{x}{2}+2y=14[/tex]