Define R(x) as the reverse of an integer x. For example, R(435) = 534.

Find the value of N, where:

1. N is a 4-digit positive integer which is divisible by each of 11 and 13, and:
2. R(N) is also divisible by each of 11 and 13, where N < R(N), and:
3. None of N and R(N) can contain any leading zero.

Prove that there are no others.

Ans: 143*(13,67)=(1859,9581)

No other pairs.

Posted by Ady TZIDON on 2014-04-04 11:03:25