Final answer:
The shorter building is 18 stories high.
Step-by-step explanation:
Let's represent the number of stories in the shorter building as x. Since the taller building is 10 stories higher, we can represent the number of stories in the taller building as x+10. Together, the two buildings are 46 stories high, so we can write the equation x + (x+10) = 46.
Simplifying the equation, we get 2x + 10 = 46. Subtracting 10 from both sides, we have 2x = 36. Finally, dividing both sides by 2, we find that x, the number of stories in the shorter building, is equal to 18.
Therefore, the shorter building is 18 stories high.
Learn more about story height in buildings