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Jack and George's number trick (Posted on 2002-11-28) Difficulty: 1 of 5
There are two people, Jack and George. Both men represent a digit. The sum of Jack's digit and Georges digit is 14.

If you position Jacks digit in the ten's place and Georges digit in the one's place, the number you get is 36 more than the number you get when you put Georges digit in the ten's place and Jacks digit in the one's place.

Which two digits do Jack and George represent?

  Submitted by Raveen    
Rating: 2.0667 (15 votes)
Solution: (Hide)
Given:
    0 <= J < 10 0 <= G < 10 J + G = 14 10*J + G = (10*G + J) + 36
We have 2 equations with 2 unknowns. Let's solve 'em.
    J = 14 - G. 10*(14-G) + G = (10G + 14 - G) + 36 140 - 9G = 9G + 50 90 = 18G G = 5 J = 14 - 5 = 9
So George's digit is 5, and Jack's is 9.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionPuzzle SolutionK Sengupta2008-12-04 06:15:31
answerK Sengupta2007-11-17 05:11:19
SolutionSimple to Solvetheo2006-06-05 18:56:26
did i miss something or is it supposed to be easy?sean2005-08-16 20:03:24
lol, the easiest on this websitePhilip2005-04-04 19:49:42
QuestionBack to School !!!Syzygy2004-09-13 10:20:32
This one was so easy !!!!Dan2003-09-19 03:34:41
SolutionAnswerredeemed2772003-05-22 10:44:29
Answer!Sophia2002-11-29 02:57:07
SolutionsimpleTomM2002-11-28 06:49:25
Solutionone of three!Jason2002-11-28 06:48:08
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