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One winter night the temperature fell 13 degrees between midnight and 5 A.M. By 9 A.M. the temperature had doubled from what it was at 5 A.M. By​ noon, it had risen another 12 degrees to 40 degrees. What was the temperature at​ midnight?

The temperature at midnight was------ degrees.

User Creinig
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Answer:

The temperature at midnight was 27 degrees.

Explanation:

Midnight to 5 A.M: The temperature fell 13 degrees.

5 A.M. to 9 A.M: The temperature doubled.

9 A.M. to Noon: The temperature rose 12 degrees to reach 40 degrees.

Let's work backward to find the temperature at midnight:

At Noon, the temperature was 40 degrees.

From 9 A.M. to Noon, it rose 12 degrees, so at 9 A.M. it was 40 - 12 = 28 degrees.

From 5 A.M. to 9 A.M. it doubled, so at 5 A.M., it was 28 / 2 = 14 degrees.

From Midnight to 5 A.M. it fell 13 degrees, so at Midnight, it was 14 + 13 = 27 degrees.

So, the temperature at midnight was 27 degrees Fahrenheit.

User Amiram
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