Bob decides to take his motorcycle to work to enjoy the nice warm, sunny weather. On his way there he looks up and sees one of those big signs that display the time and temperature. The temperature comes up in Fahrenheit, and a few seconds later it comes up in centigrade. Bob says, " That's interesting. The digits are exactly reversed." For example, it might have read 31 degrees Fahrenheit, and when it showed the centigrade reading it said "13."

At the end of the day, when he comes out of work, he realizes he should have checked the weather forecast. It’s drizzly, rainy, and cold, and he has to get back on his motorcycle.

He's riding home when he comes to the same intersection. He thinks, "What are the chances I'd ever see that again?" He knows it's a different temperature because it's not warm and sunny anymore. He sees the temperature in Fahrenheit and the temperature in centigrade.

What are the chances? The question is, what was the temperature in the morning when he went to work, and what was the temperature when he went home?