perplexus.info :: Just Math : Equal Temperatures

Equal Temperatures (Posted on 2016-10-31)

Find all pairs (A,B) of nonzero integers such that:

(80/A)^o Fahrenheit = (80/B)^o Celsius.

*** F = 9*C/5 + 32, where F and C respectively represents Fahrenheit and Celsius scales of temperatures.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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re(2): computer solution

Comment 6 of 6 |

(In reply to re: computer solution by ken)

Indeed, that was a mistaken (quite mistaken) way of limiting C to above absolute zero. But it was, first of all, the reciprocal of what should have worked, and even that was wrong.

With

For b = Int(-2000) To 100000,

I get:

   3 -27      26.66666667  -2.96296296
   4 -12      20.00000000  -6.66666667
   5  -9      16.00000000  -8.88888889
   7  -7      11.42857143 -11.42857143
  10  -6       8.00000000 -13.33333333
  25  -5       3.20000000 -16.00000000
 -20  -4      -4.00000000 -20.00000000
  -5  -3     -16.00000000 -26.66666667
  -2  -2     -40.00000000 -40.00000000
   1   3      80.00000000  26.66666667
   2  18      40.00000000   4.44444444

Posted by Charlie on 2016-10-31 19:19:55

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