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 = (1)/(2)l`

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


`o = (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}`