Answer:
See text attachment for complete source code (for the answer) where I used comments to explain each line of the program
Explanation:
First, design the form using the following tools (and the accompanying properties) :
1 Label: <em>Property: </em>Text: Score
2 Buttons
<em>Button1: Property: </em>Name: btnAdd; Text: Add
<em>Button2: Property: </em>Name: btnDisplay; Text: Display
1 ListBox: <em>Property: </em>Visible: Hidden
1 TextBox: <em>Property: </em>Name: txtNum1
First, create the following function.
The function (named typecheck) validates input from the user (i.e. integer input only)
<em>Function typecheck(ByVal input As String) As Boolean</em>
<em> Try</em>
<em> Convert.ToInt32(input)</em>
<em> </em>
<em />
<em> </em>
<em />
<em> </em>
<em />
<em> End Try</em>
<em> End Function</em>
It returns true if the input is integer and false, if otherwise.
Next, double-click on the "Add" button and write the following lines of code:
<em>Dim num1 As String</em>
<em> num1 = txtNum1.Text</em>
<em> If num1 IsNot String.Empty Then</em>
<em> If typecheck(num1) Then</em>
<em> </em>
<em />
<em> </em>
<em />
<em> Else</em>
<em> </em>
<em> </em>
<em> </em>
<em />
<em> </em>
<em />
<em> </em>
<em />
<em> Else</em>
<em> </em>

<em> </em>
<em />
<em> </em>
<em />
Next, double-click on the "Display" button and write the following lines of code:
<em>If ListBox1.Items.Count > 0 Then</em>
<em> </em>
<em />
<em> max1 = Convert.ToInt32(ListBox1.Items(0))</em>
<em> max2 = Convert.ToInt32(ListBox1.Items(0))</em>
<em> </em>
<em />
<em> If Convert.ToInt32(ListBox1.Items(</em>
<em>)) >= max1 Then</em>
<em> max1 = Convert.ToInt32(ListBox1.Items(</em>
<em>))</em>
<em> </em>
<em />
<em> Next</em>
<em> </em>
<em />
<em> If Convert.ToInt32(ListBox1.Items(</em>
<em>)) >= max2 And Convert.ToInt32(ListBox1.Items(</em>
<em>)) < max1 Then</em>
<em> max2 = Convert.ToInt32(ListBox1.Items(</em>
<em>))</em>
<em> </em>
<em />
<em> Next</em>
<em> MsgBox("Highest Scores: " + max1.ToString() + " " + max2.ToString())</em>
<em> MsgBox("</em>
<em>: " + ListBox1.Items.Count.ToString())</em>
<em> </em>
<em />
<em> ListBox1.Items.Clear()</em>