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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       >       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >>       >       > 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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