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Temperature Reflection (Posted on 2003-09-29) Difficulty: 2 of 5
On my way to work, I pass by a digital thermometer outside a bank that displays the temperature to the nearest integer, alternating back and forth between Fahrenheit and Celsius at four-second intervals.

The other day, when I was going to work, I noticed that the temperatures displayed in Fahrenheit and Celsius were simply reverse digits of each other.

Well, it warmed up nicely during the day, and when I was on my way home, I looked at the same thermometer.
Imagine my shock when, again, the Fahrenheit and Celsius temperature displays were simply reversed digits of each other!

What was the temperature when I came in to work, and what was it when I was on my way home?

Note: To convert from degrees Fahrenheit to Celsius, subtract 32 then multiply by 5/9. To convert the other way, simply do the opposite (multiply by 9/5 and add 32). Ignore leading zeroes.

See The Solution Submitted by DJ    
Rating: 4.2308 (13 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution computer solution | Comment 4 of 10 |
FOR f = 10 TO 99
  c1 = INT((f - 32.5) * 5 / 9 + .5)
  c2 = INT((f - 31.5) * 5 / 9 + .5)
  f$ = LTRIM$(STR$(f))
  c1$ = LTRIM$(STR$(c1))
  c2$ = LTRIM$(STR$(c2))
  IF RIGHT$(f$, 1) = LEFT$(c1$, 1) AND RIGHT$(c1$, 1) = LEFT$(f$, 1) THEN
      PRINT f, c1
  IF RIGHT$(f$, 1) = LEFT$(c2$, 1) AND RIGHT$(c2$, 1) = LEFT$(f$, 1) THEN
      PRINT f, c2

does come out with the same

61 16
61 16
82 28
82 28

(listed twice each due to checking lower and upper limits of the Fahrenheit possibilities for each degree)

Seeing abc's comment, I note that if 44 F were equivalent to 4 C (which it's not), the program would have found this as a match, as lengths weren't checked.
  Posted by Charlie on 2003-09-29 11:00:07
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