(a) Given an integer N, let M be the integer formed by reversing the order of the digits of N (for example, if N = 6923, then M = 3296). Verify that N - M is divisible by 9.

(b) A palindrome is a number that reads the same backward as forward (for instance, 373 and 521125 are palindromes). Prove that any palindrome with an even number of digits is divisible by 11.

Answer rating: 100% (QA)

a Let N t1t2t3tn M tntn1t2t1 N M t1t2t3tn tntn1t2t1 S1... View the full answer