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?

(In reply to answer by K Sengupta)

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.

Edited on August 15, 2023, 8:39 pm

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