Both a and b are four-digit numbers and one is obtained from the other by reversing the digits.

Determine them, knowing that 2 * (a + b) = 5 * (b - 1).

Show your reasoning.

(In reply to More brute force by Charlie)

slightly less brutal, we know by Euclids algorithm that a=3k-1, b=2k+1 for integer k but there are still lots of possibles.

Posted by goFish on 2005-09-17 10:40:47