Question

The height of Tower A is 600 feet more than Tower B. The two towers have a combined height of 1,576 feet. What are theheights of each tower?

Answer 1

The Solution:

Given:

Let the height of Tower B = x feet.

Tower A = (x +600) feet.

Required:

Find the height of each of the two towers if the total height of the two towers is 1,576 feet.

`x+(x+600)=1576`
`\begin{gathered} 2x+600=1576 \\ 2x=1576-600 \\ 2x=976 \end{gathered}`

Divide both sides by 2.

`x=(976)/(2)=488\text{ feet}`

The height of Tower A is:

`\begin{gathered} x+600=488+600=1088\text{ feet} \\ \end{gathered}`

The height of tower B is 488 feet

Answer:

Tower A's height = 1088 feet

Tower B's height = 488 feet