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 How old did you say they were? (Posted on 2005-03-03)

The hostess, at her 20th wedding anniversary party, tells you that her youngest child likes her to pose this problem to guests, and she proceeds to explain: "I normally ask guests to determine the ages of my three children, given the sum and products of their ages. Since Smith gave an incorrect answer to the problem tonight and Jones gave an incorrect answer at the party two years ago, I'll let you off the hook."

Your response is "No need to tell me more, their ages are..."

 See The Solution Submitted by Erik O. Rating: 3.0000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(5): Solution (??) | Comment 9 of 31 |
(In reply to re(4): Solution (??) by Charlie)

I get the same answer, {6,12,16}, with my program adjusted for Charlie's sensible assumptions. (Having 1-year-old infants asking brainteasers at wedding anniversaries, my original assumption, was almost as silly as that "time-reversed gestation period" that somehow preserved the bride's reputation, in my second post).

Imports System
Imports System.IO
Imports System.Text
Imports System.Runtime.InteropServices
Imports System.Math
Module Module1
Sub Main()
Randomize()
Dim intsize As Integer = 16 * 16 * 16
Dim intloop As Integer = intsize - 1
Dim intloop1 = -1
Dim inttable(0, 0) As Integer
Dim intloop19 As Integer = 19
ReDim inttable(intsize, intsize)
For index1 As Integer = 0 To intloop
For index2 As Integer = 0 To intloop
inttable(index1, index2) = -100
Next
Next
For intage1 As Integer = 3 To intloop19
For intage2 As Integer = intage1 To intloop19
For intage3 As Integer = intage2 To intloop19
place_in_table( _
intage1, intage2, intage3, _
inttable, intloop, intloop1)
Next
Next
Next
For intage1 As Integer = 5 To intloop19 - 1
For intage2 As Integer = intage1 + 1 To intloop19
For intage3 As Integer = intage2 To intloop19
search_table( _
intage1, intage2, intage3, _
inttable, intloop1, intloop)
Next
Next
Next
End Sub

Sub place_in_table( _
ByRef intage1, ByRef intage2, ByRef intage3, _
ByRef inttable, ByRef intloop, ByRef intloop1)
Dim intprod As Integer
Dim intsum As Integer
intprod = intage1 * intage2 * intage3
intsum = intage1 + intage2 + intage3
For index1 As Integer = 0 To intloop
If inttable(index1, 0) < 0 Then
inttable(index1, 0) = intprod
inttable(index1, 1) = intsum
inttable(index1, 2) = intage1
inttable(index1, 3) = intage2
inttable(index1, 4) = intage3
intloop1 = index1
Exit Sub
End If
If inttable(index1, 0) = intprod And _
inttable(index1, 1) = intsum Then
For index2 As Integer = 2 To intloop
If inttable(index1, index2) < 0 Then
inttable(index1, index2) = intage1
inttable(index1, index2 + 1) = intage2
inttable(index1, index2 + 2) = intage3
Exit Sub
End If
Next
End If
Next
End Sub

Sub search_table( _
ByRef intage1, ByRef intage2, ByRef intage3, _
ByRef inttable, ByRef intloop1, ByRef intloop)
Dim intprod As Integer
Dim intsum As Integer
Dim intage1_m As Integer
Dim intage2_m As Integer
Dim intage3_m As Integer
Dim intprod_m As Integer
Dim intsum_m As Integer
Dim strdisplay As String
intage1_m = intage1 - 2
intage2_m = intage2 - 2
intage3_m = intage3 - 2
If intage1_m < 0 Or intage2_m < 0 Or intage3_m < 0 Then
Exit Sub
End If
intprod = intage1 * intage2 * intage3
intsum = intage1 + intage2 + intage3
intprod_m = intage1_m * intage2_m * intage3_m
intsum_m = intage1_m + intage2_m + intage3_m
For index1 As Integer = 0 To intloop1
If inttable(index1, 0) = intprod And _
inttable(index1, 1) = intsum Then
If inttable(index1, 5) < 0 Then
Exit Sub
End If
End If
Next
For index1 As Integer = 0 To intloop1
If inttable(index1, 0) = intprod_m And _
inttable(index1, 1) = intsum_m Then
If inttable(index1, 5) < 0 Then
Exit Sub
End If
End If
Next
Console.WriteLine(" ")
Console.WriteLine( _
"Ages: " & _
intage1 & " " & intage2 & " " & intage3)
strdisplay = "Current data: "
For index1 As Integer = 0 To intloop1
If inttable(index1, 0) = intprod And _
inttable(index1, 1) = intsum Then
For index2 As Integer = 0 To intloop
If inttable(index1, index2) < 0 Then
Exit For
End If
strdisplay &= inttable(index1, index2) & " "
Next
Exit For
End If
Next
Console.WriteLine(strdisplay)
strdisplay = "Two years ago: "
For index1 As Integer = 0 To intloop1
If inttable(index1, 0) = intprod_m And _
inttable(index1, 1) = intsum_m Then
For index2 As Integer = 0 To intloop
If inttable(index1, index2) < 0 Then
Exit For
End If
strdisplay &= inttable(index1, index2) & " "
Next
Exit For
End If
Next
Console.WriteLine(strdisplay)
Console.WriteLine( _
End Sub
End Module

 Posted by Penny on 2005-03-05 03:25:06

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