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   Message 296,486 of 297,461   
   HenHanna to IlanMayer   
   Re: Three rational triples   
   19 Sep 24 17:11:53   
   
   XPost: rec.puzzles   
   From: HenHanna@dev.null   
      
   > Keith F. Lynch wrote:   
   >> Since it's been more than a week, and nobody has figured it out:   
   >> Each of them has a sum that's equal to its product and is an integer.   
      
   > i think one person said exactly that.   
      
      
          -----------    Who and when?  I didn't see any such post.   
      
      
   So this post below didn't get to your site (or Newsreader).   
      
      
      
      
   On Fri, 13 Sep 2024 12:58:08 +0000, IlanMayer wrote:   
      
   > On Fri, 13 Sep 2024 2:19:31 +0000, HenHanna wrote:   
   >   
   >> On 9/11/2024 5:15 AM, Keith F. Lynch wrote:   
   >>> I discovered that these three sets of three positive rationals have an   
   >>> interesting property in common:   
   >>>   
   >>> 9/2, 4/3, 7/6   
   >>>   
   >>> 49/15, 25/21, 54/35   
   >>>   
   >>> 49/2, 4/7, 27/14   
   >>>   
   >>> If nobody figures it out, I will provide the answer in a week.   
   >>   
   >>   
   >>   
   >>          that sounds good.   
   >>   
   >   
   > SPOILER   
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   > The sum of each triplet is the same as its product.   
   >   
   > 9/2*4/3*7/6 = 9/2+4/3+7/6 = 7   
   > 49/15*25/21*54/35 = 49/15+25/21+54/35 = 6   
   > 49/2*4/7*27/14 = 49/2+4/7+27/14 = 27   
   >   
   > Please reply to ilanlmayer at gmail dot com   
   >   
   >    __/\__   
   >    \    /   
   > __/\\  //\__  Ilan Mayer   
   > \          /   
   > /__      __\  Toronto, Canada   
   >   /__  __\   
   >      ||   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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