Off Topic: Puzzle

[Jim Hurley]

I thought RunRev fans would enjoy the recent Car Talk puzzle. (Car 
Talk is a popular American Saturday Public Radio program in the US.)

It is particularly suited to XTalk which treats numbers as text or 
numbers depending on the context.

The local bank outdoor thermometer reports the temperature digitally 
in both Celcius and Fahrenheit. One morning a driver noticed the 
centigrade (Celsius) digital temperature reading on the bank 
thermometer was just the reverse of the Fahrenheit digital 
temperature reading.

Driving by the bank later in the afternoon, when the weather had 
cleared and warmed up, he noticed that the temperatures were higher 
but once again the digits of the Centigrade and Fahrenheit readings 
were reversed.

What were the two temperatures?

In case you  have forgotten: tc = 5/9*(tf - 32)

Jim