Using a system of equations, it is found that:
- Zoe is 36 inches tall.
- Claire is 72 inches tall.
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- The heights are unknown, so we are going to call it x and y.
- x for Claire, y for Zoe.
- Claire is twice as tall as Zoe, thus [tex]x = 2y[/tex]
- Together, they are 108 inches tall, thus:
[tex]x + y = 108[/tex]
Since [tex]x = 2y[/tex]
[tex]2y + y = 108[/tex]
[tex]3y = 108[/tex]
[tex]y = \frac{108}{3}[/tex]
[tex]y = 36[/tex]
[tex]x = 2y = 2(36) = 72[/tex]
Zoe is 36 inches tall.
Claire is 72 inches tall.
A similar problem is given at https://brainly.com/question/17096268
