[tex]\text{Let Zoe's height be x}[/tex]
Claire's is twice as tall as Zoe implies that:
[tex]\text{Claire's height = 2x}[/tex]
The sum of their ages is 108 inches.
Thus, we have:
[tex]\begin{gathered} x+2x=108 \\ 3x=108 \\ x=\frac{108}{3} \\ x=36 \end{gathered}[/tex]
Therefore, Zoe's height is 36 inches while Claire's height is 72 inches
