perplexus.info :: Just Math : Product Divides Sum?

Product Divides Sum? (Posted on 2015-05-12)

Each of P, Q and R is a positive integer such that P divides Q², Q divides R² and R divides P².

Does P*Q*R always divide P+Q+R?
If not, give a counterexample.
If so, prove it.

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.)

re(2): Analytical Solution

Comment 3 of 3 |

(In reply to re: Analytical Solution by broll)

Well put!

And that. of course, would make (1,1,1) the only P,Q,R that meets the puzzle conditions.

Posted by Steve Herman on 2015-05-13 06:30:59

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