Question

The total height of an office building b and the granite statue that stands on top of it g is 326.6 feet. The difference in heigths between the building and statue is 295.4 feet. How tall is the building? How tall is the statue?

Answer 1

Answer: The height of building is 311 feet and the height of statue is 15.6 feet.

Explanation:

Let the height of the building be 'b' and the height of the statue be 'g'.

Then according to the question, we get the following equation

`b+g=326.6.......(1)\\b-g=295.4............(2)`

Now, add both the equations, we get

`2b=622\\\Rightarrow\ b=311`

Substitute the value of b in equation (2), we get

`311-g=295.4\\\Rightarrow\ g=311-295.4\\\Rightarrow\ g=15.6`

Hence, the height of building = 311 feet and the height of statue =15.6 feet.