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Celsius- A Fahrenheit Multiple? (Posted on 2016-06-21) Difficulty: 3 of 5
Find all pairs (N, X) of integers such that:

Xo Celsius = N*Xo Fahrenheit

*** C = 5(F-32)/9, where C and F respectively denotes Celsius and Fahrenheit scales of temperature.

No Solution Yet Submitted by K Sengupta    
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No Subject | Comment 1 of 7
DefDbl A-Z
Dim crlf$


Private Sub Form_Load()
 Form1.Visible = True
 
 
 Text1.Text = ""
 crlf = Chr$(13) + Chr$(10)
 
 For c = -273 To 1000000
   DoEvents
   f = c * 9 / 5 + 32
   If c <> 0 Then
    ratio = f / c
    If ratio = Int(ratio) Then
     Text1.Text = Text1.Text & c & Str(f) & Str(ratio) & crlf
    End If
   End If
 Next
 
 Text1.Text = Text1.Text & " done"
  
End Sub

finds

-40°C = -40°F; multiple is 1
10°C = 50°F; multiple is 5
160°C = 320°F; multiple is 2

Going to a million degrees Celsius was overkill. At 10000°C the ratio of Fahrenheit to Celsius is already 1.8032 and asymptotically approaching 1.8, so no more integral multiples would be possible.

  Posted by Charlie on 2016-06-21 15:23:03
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