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Building A is 160 feet shorter than Building B. The total height of the two buildings is 1500 feet. Find the height of each building.

Answer :

Building B is 830 feet tall, while Building A is 670 feet tall.

Let the height of Building B be x feet.

Since Building A is 160 feet shorter than Building B, the height of Building A can be represented as (x - 160) feet.

The total height of the two buildings is given as 1500 feet, so we can set up the equation: x + (x - 160) = 1500.

Simplifying the equation, we have:

2x - 160 = 1500

2x = 1660

x = 830

Therefore, the height of Building B is 830 feet.

To find the height of Building A, we substitute the value of x into the equation:

Height of Building A = x - 160 = 830 - 160 = 670 feet.

Thus, the height of Building A is 670 feet.

In summary, Building B is 830 feet tall, while Building A is 670 feet tall.

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