Answer:
The vampire is 357 years old.
[tex]x=357[/tex]Explanation:
Let x represent the vampire's age.
Given that 1,114 reduced by 2 times his age is 400;
[tex]1114-2x=400[/tex]solving for x in the given equation, we have;
[tex]\begin{gathered} 1114-400=2x \\ 714=2x \\ x=\frac{714}{2} \\ x=357 \end{gathered}[/tex]Therefore, the vampire is 357 years old.
[tex]x=357[/tex]