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

Home > Just Math > Calculus
Worldly Integral (Posted on 2009-09-15) Difficulty: 2 of 5
Substitute each of the capital letters in bold by a different digit from 0 to 9 to satisfy this alphametic equation. Neither W nor S is zero and T ≥ 2.

W
∫ x-T dx = .WORLD
S

See The Solution Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution computer solution Comment 1 of 1

Integ{1 to 4} x ^ -3 dx = .46875

based on

1  4  3       .46875

from

DEFDBL A-Z
FOR t = 2 TO 9
 IF used(t) = 0 THEN
  used(t) = 1
FOR s = 1 TO 9
 IF used(s) = 0 THEN
  used(s) = 1
  term2 = s ^ (1 - t) ' numerator of antiderivative at s
FOR w = 1 TO 9
 IF used(w) = 0 THEN
  used(w) = 1
  term1 = w ^ (1 - t) ' numerator of antiderivative at w
FOR o = 0 TO 9
 IF used(o) = 0 THEN
  used(o) = 1
FOR r = 0 TO 9
 IF used(r) = 0 THEN
  used(r) = 1
FOR l = 0 TO 9
 IF used(l) = 0 THEN
  used(l) = 1
FOR d = 0 TO 9
 IF used(d) = 0 THEN
  used(d) = 1

  world = w / 10# + o / 100# + r / 1000# + l / 10000# + d / 100000#
  IF term1 - term2 = world * (1 - t) THEN ' denominator introduced here
     PRINT s; w; t, world
  END IF

  used(d) = 0
 END IF
NEXT
  used(l) = 0
 END IF
NEXT
  used(r) = 0
 END IF
NEXT
  used(o) = 0
 END IF
NEXT
  used(w) = 0
 END IF
NEXT
  used(s) = 0
 END IF
NEXT
  used(t) = 0
 END IF
NEXT

 


  Posted by Charlie on 2009-09-15 21:51:52
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 (2)
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