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My four numbers (Posted on 2016-02-24) Difficulty: 3 of 5
I have in mind 4 positive numbers, which I would like you to find.

Out of the set of 6 pair-wise products of those numbers I am going to omit one.

The remaining five are: 8,10,12,24,30.

See The Solution Submitted by Ady TZIDON    
Rating: 4.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re(3): Solution with Analysis | Comment 9 of 12 |
(In reply to re(2): Solution with Analysis by Steve Herman)

I like your expansion of the   solutions’ set.

Following your idea, this problem has 4 solutions.  One  uses integers only.

The other 3, including yours:


SH: (2*sqrt(5/3), 4*sqrt(3/5), 5*sqrt(3/5), 6*sqrt(5/3))   

AT: (2*sqrt(15/4), 4*sqrt(15/4), 5*sqrt(4/15), 6*sqrt(4/15)) 

AT: (2*sqrt(12/5), 4*sqrt(5/12), 5*sqrt(12/5), 6*sqrt(5/12))

Feel free to check/comment.



  Posted by Ady TZIDON on 2016-02-25 12:41:43
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