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From: HenHanna <HenHanna@dev.null>
Newsgroups: rec.puzzles,sci.lang
Subject: Re: Three rational triples
Date: Thu, 19 Sep 2024 17:11:53 +0000
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> 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
>   /__  __\
>      ||