Question

5. Zoe and Claire are sisters. They are giving clues about their heights. Write an equation and

Answer 1

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 $x = 2y$
• Together, they are 108 inches tall, thus:

$x + y = 108$

Since $x = 2y$

$2y + y = 108$

$3y = 108$

$y = \frac{108}{3}$

$y = 36$

$x = 2y = 2(36) = 72$

Zoe is 36 inches tall.

Claire is 72 inches tall.

A similar problem is given at brainly.com/question/17096268