Question

Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pine tree is 2121 21 meters. The height of 44 4 fir trees stacked on top of each other is 2424 24 meters taller than one pine tree. How tall are the types of trees that Logan genetically engineered?

Answer 1

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

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:

`x+y=21...............(1)\\4x-y=24.........(2)`

Adding (1) and (2) we get

`5x=45\\\Rightarrow\ x=9`

Substitute the value of x in (1), we get

`9+y=21\\\Rightarrow\ y=21-9=12`

Hence, the height of fir tree is 9 meters and the height of pine tree is 12 meters.