Determine the four smallest but different three digit positive decimal integers commencing with the same digit, such that their sum is divisible by precisely three of the said numbers.

What are the five smallest but different four digit positive decimal integers commencing with the same digit, such that their sum is divisible by precisely four of the said numbers?

The solution to part I is {108, 117, 135, 180}

108+117+135+180 = 540

540 = 5*108 = 4*135 = 3*180

Posted by Justin on 2006-09-25 12:01:13