Question

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.

Answer 1

Ava's Height = $a$
Olivia's Height = $o$
Lucas' Height = $l$

We know from the question that;

$o = \frac{1}{2}l$

If Lucas is 1.78m tall, then he is 178cm tall, so $l = 178$

$o = \frac{1}{2}178$

$o = 89$

We also know that;

$a + 23 = o$

As we have worked out that $o = 89$,

$a + 23 = 89$

$a = 89 - 23$

$a= 66$

$\boxed {a = 66cm, o = 89cm}$