All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Alexei And Boris (Posted on 2006-03-28) Difficulty: 3 of 5
Alexei and Boris both have a whole number of chocolates, lollipops and toffees, and the product of the number of each boy's of chocolates, lollipops and toffees is 336. It is known that:

(A) Each boy has fewer chocolates than lollipops.

(B) For each boy, the product of the number of chocolates and lollipops equals the total number of candies he has.

(C) Alexei has more lollipops than toffees.

Determine the number of chocolates, lollipops and toffees possessed by each of Alexei and Boris.

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Computer solution AND 7 AND 48 Comment 11 of 11 |
(In reply to re: Computer solution AND 7 AND 48 by Ady TZIDON)

Woops.  You're quite right, ADY, my mistake.  Maybe I should have had the program find the factors instead of doing it by hand.  Here's the revised program -- gives the same result. 

Module Module1
 Sub main()
  Dim chocolates, lollipops, toffees As Integer
  Dim factor() As Integer = {1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336}
  For i As Integer = 0 To 18
   chocolates = factor(i)
   For j As Integer = i + 1 To 19
    lollipops = factor(j)
    toffees = CInt(336 / chocolates / lollipops)
    If chocolates * lollipops = chocolates + lollipops + toffees Then
     Console.WriteLine(chocolates & " " & lollipops & " " & toffees)
    End If
   Next
  Next
  Console.ReadKey()
 End Sub
End Module


  Posted by Ken Haley on 2006-03-29 23:58:58
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information