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Ava is 23 cm taller than Olivia, and Olive is half the height of Lucas. If Lucas is1.78 m tall, how tall are Ava and Olive? Express their heights in centimeters.

Sagot :

Gwenuin
Ava's Height = [tex]a[/tex]
Olivia's Height = [tex]o[/tex]
Lucas' Height = [tex]l[/tex]

We know from the question that;

[tex]o = \frac{1}{2}l[/tex]

If Lucas is 1.78m tall, then he is 178cm tall, so [tex]l = 178[/tex]

[tex]o = \frac{1}{2}178[/tex]

[tex]o = 89[/tex]

We also know that;

[tex]a + 23 = o[/tex]

As we have worked out that [tex]o = 89[/tex],

[tex]a + 23 = 89[/tex]

[tex]a = 89 - 23[/tex]

[tex]a= 66[/tex]

[tex]\boxed {a = 66cm, o = 89cm}[/tex]
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