Question

The combined height of one for tree and one pine tree is 21 meters. The height of 4 for trees stacked on top of each other is 24 meters taller than one pine tree. How tall are the types of trees?

Answer 1

Answer:

The height of the fir tree is 9 meters tall and the pine tree is 12 meters.

Step-by-step explanation:

Given:

Note :→ there is a mistake it is fir tree not for tree.

The combined height of one fir tree and one pine tree is 21 meters.

The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Now, to find how tall are the types of trees.

Let the height of one fir tree be$x$.

And the height of one pine tree be $y$.

So, the combined height of one fir tree and one pine tree:

$x+y=21.$

$y=21-x.$.........( 1 )

Now, as given the height of 4 for trees stacked on top of each other is 24 meters taller than one pine tree:

$4x=y+24.$

Putting the value of equation (1) in the place of $y$ :

$4x=21-x+24$

Adding both the sides $x$ we get:

$5x=21+24.$

$5x=45.$

Dividing both the sides by 5 we get:

$x=9\ meters.$

So, the height of one fir tree = 9 meters.

Now, putting the value of $x$ in equation (1) we get:

$y=21-9$

$y=12\ meters.$

Thus, the height of one pine tree = 12 meters.

Therefore, the fir tree is 9 meters tall and the pine tree is 12 meters tall.