ava is 23 cm taller than olivia, and olivia is half the height of lucas. if lucas is 1.78 m tall, how tall are ava and olivia? express thier heights in cm

Answers

Answer 1

Answer:

Thus, the height of ava and olivia is $\boxed{112\text{ cm}\text{ and }89\text{ cm}}$ respectively.

Further explanation:

It is given that height of ava is $23\text{ centimeter}$ more than the height than the height of olivia and the height of olivia is half of the height of lucas.

Consider the height of ava, olivia and lucas as $x,y$ and $z$ .

The height of the lucas is given as $1.78\text{ meter}$ .

This implies that the value of $z$ is as follows:

$\boxed{z=1.78}$

Since, the height of lucas is given in meter so, it is necessary to convert the unit into centimeter.

The height of lucas is converted into centimeter unit as follows:

$\begin{aligned}1\text{ meter}&\rightarrow 100\text{ centimeter}\n1.78\text{ meter}&\rightarrow 1.78*100=178\text{ centimeter}\end{aligned}$

Since, the height of olivia is half of the height of lucas so, the equation formed is as follows:

$\boxed{y=(z)/(2)}$

Substitute $178$ for the $z$ in the above equation.

$\begin{aligned}y&=(178)/(2)\n&=89\end{aligned}$

Therefore, the value of $y$ is $89$ .

This implies that the height of olivia is $89\text{ centimeter}$ .

It is given that height of ava is $23\text{ centimeter}$ more than the height than the height of olivia so, the equation formed is as follows:

$\boxed{x=23+y}$

Substitute $89$ for $y$ in the above equation.

$\begin{aligned}x&=23+89\n&=112\end{aligned}$

This implies that the height of ava is $112\text{ centimeters}$ .

Thus, the height of ava and olivia is $\boxed{112\text{ cm}\text{ and }89\text{ cm}}$ respectively.

Learn more:

1. Learn more about problem on coordinate of the graph brainly.com/question/1286775

2. Learn more about problem on equations brainly.com/question/1473992

3. Learn more about problem on triangles brainly.com/question/7437053

Answer details:

Grade: Middle school

Subject: Mathematics

Topic: Problems on Ages

Keywords: Age, height, ava, olivia, lucas, tall, meter, centimeter, unit, conversion, 1.78, value, half of height, taller than olivia, ava is 23 cm.

Answer 2

Answer: First, we must find the height of olivia.

1m = 100cm (given, metric system)

178/2 = 89cm (olivia is 89cm tall)

Ava is 23cm taller than Olivia, so 89 + 23 would be our next step.

89 + 23 = 112cm tall

Olivia: 89cm
Ava: 112cm

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