Find a 2-digit integer, a 3-digit integer and a 4-digit integer, such that:

among them contain all digits 1 - 9

each integer is divisible by each of its digits

the sum of the three integers is a 4-digit number that is also divisible by each of its digits, which are all different as well

(In reply to Solution by Penny)

Penny, did you solve this using a program? If you did, would you mind indicate that, and/or including the program code?

If you didn't use a program then that's an impressive find! I would like to know the reasoning.

Posted by bumble on 2006-09-19 08:30:29