Re: Three rational triples

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:
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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:
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9/2, 4/3, 7/6
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49/15, 25/21, 54/35
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49/2, 4/7, 27/14
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If nobody figures it out, I will provide the answer in a week.

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         that sounds good.
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SPOILER
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The sum of each triplet is the same as its product.
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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
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Please reply to ilanlmayer at gmail dot com
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