perplexus.info :: Numbers : A permutation puzzle 2

Home > Numbers

A permutation puzzle 2 (Posted on 2022-05-21)

Each of M, N and P is a 4 digit non-leading zero positive integer such that:

Determine all possible triplets (M,N,P).

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Analytical Note

| Comment 2 of 3 |

Permuting a number does not change its value mod 9.

Therefor, M = N = P mod 9

Also, M + N = P mod 9.

Therefore, 2P = P mod 9

Therefore M = N = P = 0 mod 9

Posted by Steve Herman on 2022-05-22 07:53:01

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info