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

The required 4-digit number, 3-digit number and the 2-digit number are respectively  3195, 672 and 48. The three numbers sum to  3915.

Posted by K Sengupta on 2008-11-24 00:45:17