Answer: The height of fir tree is 9 meters and the height of pine tree is 12 meters.
Step-by-step explanation:
Given : The combined height of one fir tree and one pine tree = 21 meters.
Since, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
Let x be the height of fir tree and y be the height of pine tree.
Then we get the following equations:
[tex]x+y=21...............(1)\\4x-y=24.........(2)[/tex]
Adding (1) and (2) we get
[tex]5x=45\\\Rightarrow\ x=9[/tex]
Substitute the value of x in (1), we get
[tex]9+y=21\\\Rightarrow\ y=21-9=12[/tex]
Hence, the height of fir tree is 9 meters and the height of pine tree is 12 meters.
