Question

The height of tower A is 852 feet more than tower B. The two towers have a combined height of 1,824 feet. What are the heights of each tower?

Answer 1

`\bf \textit{A is 852 feet more than tower B}\implies a=b+852 \\\\\\ \textit{The two towers have a combined height of 1,824}\implies a+b=1824\\\\ -------------------------------\\\\ \begin{cases} \boxed{a}=b+852\\ a+b=1824\\ ----------\\ \boxed{b+852}=1824 \end{cases} \\\\\\ b=1824-852\implies b=972`

how tall is A? well, a = b + 852.

Answer 2

Height of Tower A = 1338 feet.

Height of Tower B = 486 feet.

Explanation:

It is given that:

The height of tower A is 852 feet more than tower B.

Let the height of tower B= x feet.

Then the height of tower A= (x+852) feet.

Also,

The two towers have a combined height of 1,824 feet.

This means that:

`(x+852)+x=1824\\\\x+852+x=1824\\\\x+x+852=1824\\\\2x+852=1824\\\\2x=1824-852\\\\2x=972\\\\x=(972)/(2)\\\\x=486`

Height of tower B= 486 feet.

and height of tower A= 486+852= 1338 feet