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 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?

 See The Solution Submitted by Raveen Rating: 1.8571 (14 votes)

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 Puzzle Solution Comment 11 of 11 |

Let the respective digits of Jack and George be x and y.

Then, by the problem,
(i) x+y = 14 (ii) (10x+y) - (10y+x) = 36

From (ii), upon simplification, we obtain:

9(x-y) = 36, giving:
x-y = 4

Solving(x+y, x-y) = (14, 4), we obtain: (x,y) = (9, 5)

Consequently, the respective digits of jack and George are 9 and 5.

 Posted by K Sengupta on 2008-12-04 06:15:31

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