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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computer solution

| Comment 2 of 6 |

   A   B           F            C
 -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

For b = Int(-272 / 80) To 100000

If b <> 0 Then

c = 80 / b

f = 9 * c / 5 + 32

a = 80 / f

arounded = Int(a + 0.5)

If Abs(arounded - a) < 0.00001 Then

Text1.Text = Text1.Text & mform(a, "###0") & mform(b, "###0") & " "

Text1.Text = Text1.Text & mform(f, "###0.00000000") & mform(c, "###0.00000000") & crlf

End If

Next b

Posted by Charlie on 2016-10-31 11:53:55

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