perplexus.info :: Numbers : Jack and George's number trick

Jack and George's number trick (Posted on 2002-11-28)

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
Puzzle Solution	K Sengupta	2008-12-04 06:15:31
answer	K Sengupta	2007-11-17 05:11:19
Simple to Solve	theo	2006-06-05 18:56:26
did i miss something or is it supposed to be easy?	sean	2005-08-16 20:03:24
lol, the easiest on this website	Philip	2005-04-04 19:49:42
Back to School !!!	Syzygy	2004-09-13 10:20:32
This one was so easy !!!!	Dan	2003-09-19 03:34:41
Answer	redeemed277	2003-05-22 10:44:29
Answer!	Sophia	2002-11-29 02:57:07
simple	TomM	2002-11-28 06:49:25
one of three!	Jason	2002-11-28 06:48:08

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