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Overheard in Manitoba (Posted on 2018-01-06) Difficulty: 3 of 5
A: "I remember that on a certain day in Winter both Celsius and Fahrenheit temperature readings showed the digit 5 as the units digit..."

B(after some mental calculation): "I'm certain it was not the coldest day..."

How cold was it?

No Solution Yet Submitted by Ady TZIDON    
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Some Thoughts An aside, beyond the solution | Comment 4 of 6 |
The answer is -15°C or 5°F.

It led me to wonder what if the specific digit weren't given--just that the Fahrenheit's units digit matched that of the Celsius. The results show it's possible among reasonably cold temperatures other than the above only if you round the temperatures to the nearest whole degree:

    exact            rounded
  F      C           F     C
-19.5  -28.6        -19   -29
-19.4  -28.6        -19   -29
-18.5  -28.1        -18   -28
-18.4  -28.0        -18   -28
-18.3  -27.9        -18   -28
-18.2  -27.9        -18   -28
-18.1  -27.8        -18   -28
-18.0  -27.8        -18   -28
-17.9  -27.7        -18   -28
-17.8  -27.7        -18   -28
-17.7  -27.6        -18   -28
-17.6  -27.6        -18   -28
-17.5  -27.5        -17   -27
-17.4  -27.4        -17   -27
-17.3  -27.4        -17   -27
-17.2  -27.3        -17   -27
-17.1  -27.3        -17   -27
-17.0  -27.2        -17   -27
-16.9  -27.2        -17   -27
-16.8  -27.1        -17   -27
-16.7  -27.1        -17   -27
-16.6  -27.0        -17   -27
-15.7  -26.5        -16   -26
-15.6  -26.4        -16   -26
  4.5  -15.3          5   -15
  4.6  -15.2          5   -15
  4.7  -15.2          5   -15
  4.8  -15.1          5   -15
  4.9  -15.1          5   -15
  5.0  -15.0          5   -15
  5.1  -14.9          5   -15
  5.2  -14.9          5   -15
  5.3  -14.8          5   -15
  5.4  -14.8          5   -15
 11.4  -11.4         11   -11
 11.5  -11.4         11   -11
 17.6   -8.0         18    -8
 17.7   -7.9         18    -8
 17.8   -7.9         18    -8
 17.9   -7.8         18    -8
 18.0   -7.8         18    -8
 18.1   -7.7         18    -8
 18.2   -7.7         18    -8
 18.3   -7.6         18    -8
 18.4   -7.6         18    -8
 23.9   -4.5         24    -4
 24.0   -4.4         24    -4
 24.1   -4.4         24    -4
 24.2   -4.3         24    -4
 24.3   -4.3         24    -4
 24.4   -4.2         24    -4
 30.5   -0.8         31    -1
 30.6   -0.8         31    -1
 30.7   -0.7         31    -1
 30.8   -0.7         31    -1
 30.9   -0.6         31    -1
 31.0   -0.6         31    -1

DefDbl A-Z
Dim crlf$, age(4), digits$


Private Sub Form_Load()
 Form1.Visible = True
 
 
 Text1.Text = ""
 crlf = Chr$(13) + Chr$(10)
 
 For f = -20 To 40 Step 0.1
   c = (f - 32) * 5 / 9
   fcomp$ = mform(Int(f + 0.5), "###0")
   ccomp$ = mform(Int(c + 0.5), "###0")
   a$ = mform(f, "##0.0")
   b$ = mform(c, "##0.0")
   If Right(fcomp, 1) = Right(ccomp, 1) Then
    Text1.Text = Text1.Text & mform(f, "##0.0") & "  " & mform(c, "##0.0") & "       "
    Text1.Text = Text1.Text & fcomp & "  " & ccomp & crlf
   End If
   DoEvents
 Next
  
 Text1.Text = Text1.Text & crlf & " done"
  
End Sub

Function mform$(x, t$)
  a$ = Format$(x, t$)
  If Len(a$) < Len(t$) Then a$ = Space$(Len(t$) - Len(a$)) & a$
  mform$ = a$
End Function


  Posted by Charlie on 2018-01-06 16:02:12
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