Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: HenHanna Newsgroups: rec.puzzles,sci.lang Subject: Re: Three rational triples Date: Thu, 19 Sep 2024 17:11:53 +0000 Organization: novaBBS Message-ID: <90a25dad13a1ee6ee5e550d93bd72888@www.novabbs.com> References: MIME-Version: 1.0 Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Info: i2pn2.org; logging-data="2669443"; mail-complaints-to="usenet@i2pn2.org"; posting-account="25PjXUQKTQXKZnoxTqVufZcfCkmLjnu8AjjfHtuMysE"; User-Agent: Rocksolid Light X-Rslight-Posting-User: 5a1f1f09909a70d7ae18ae9af00e018f83ece577 X-Spam-Checker-Version: SpamAssassin 4.0.0 X-Rslight-Site: $2y$10$QoNwrthlMFEHrx9LSxyqOOWpgqntco7fNXLVMGIMSQQ8pZ8OUxYfm X-Face: P#KeQ)CUdd!==@fw~Ms1=,Hb`IWtb6:Mw)x3B=H1BfNC\lz?Nb&)M9}$>?'X7l;CuB}utlJ=PHsRBSG6X>dYZ$[>P]$~+`>@V6$t}hTLoQ7XC~W\>:`B3ALU]SH;d(\MEc}znW8m}-ma&yPFkJ2@KSQrz=!Y;><;6a>z6N+mt`ClCt.PAE 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 > /__ __\ > ||