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#1 2021-10-29 21:07:14

gheharuko176
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Registered: 2021-10-29
Posts: 1

Puzzles and Games » Addition Problem

Given the digits 1,2,3,4,5,6 & 7, how can we construct an addition problem whose sum is 100? You may use each digit only once.

Last edited by zetafunc (2022-05-05 19:48:51)

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#2 2021-10-30 22:11:18

phrontister
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From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 4,810

Re: Puzzles and Games » Addition Problem

Hi gheharuko176, and welcome to the Forum!

gheharuko176 wrote:

Given the digits 1,2,3,4,5,6 & 7, how can we construct an addition problem whose sum is 100? You may use each digit only once.

 56
 13
 24
  7
---
100
===

Last edited by phrontister (2022-05-04 22:59:23)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#3 2021-10-31 00:09:47

Bob
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Registered: 2010-06-20
Posts: 10,052

Re: Puzzles and Games » Addition Problem

hi gheharuko176

Welcome to the forum.

Looks like there are multiple solutions.  I had 67 + 23 + 1 + 4 + 5

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#4 2021-10-31 01:45:39

phrontister
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From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 4,810

Re: Puzzles and Games » Addition Problem

Hi Bob;

Bob wrote:

Looks like there are multiple solutions.

I found the following solution ranges (in ascending 7-digit permutation order):
  (a) 720 solutions for sums of 3 single-digit numbers and 2 double-digit numbers, ranging from 1+2+4+36+57=100 to 7+6+4+52+31=100
  (b) 288 solutions for sums of 1 single-digit number and 3 double-digit numbers, ranging from 2+15+36+47=100 to 7+56+24+13=100

Last edited by phrontister (2021-10-31 02:08:37)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#5 2021-10-31 20:02:09

Bob
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Registered: 2010-06-20
Posts: 10,052

Re: Puzzles and Games » Addition Problem

hi Phro,

Neat! That would explain why I managed to come up with a solution so quickly.  smile

Keep crunching!

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#6 2021-10-31 20:34:21

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 4,810

Re: Puzzles and Games » Addition Problem

Bob wrote:

That would explain why I managed to come up with a solution so quickly.  smile

Same here! With mine, I thought, "That was waaay too quick!!". dizzy

So...curiosity got the better of me, and I explored further via the list of permutations from MIF's Permutations Calculator & some operations on them in Excel.

smile

Last edited by phrontister (2021-11-01 09:29:40)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#7 2022-05-03 21:41:28

CurlyBracket
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From: Your Maths Textbook
Registered: 2022-01-03
Posts: 151

Re: Puzzles and Games » Addition Problem

Umm... Pardon me,  but isn't this thread an advertisement about a massaging chair?


Learning is fun - Exceptio probat regulam!

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#8 2022-05-05 11:30:50

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 4,810

Re: Puzzles and Games » Addition Problem

Well, yes...it is now, but it began 30/10/2021 as an apparently genuine maths 'problem' (see post #2, which I edited to include the original 'problem' that the OP since replaced with the chair ad, possibly on 26/11/2021).

I said 'problem', because the level of simplicity of the OP's 'problem' raises the suspicion that the post was a bogus springboard to be used later, as it now seems to have been, for placing the ad via an edit to the original post.

A moderator should look at this...


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#9 2022-05-05 19:52:46

zetafunc
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Registered: 2014-05-21
Posts: 2,432
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Re: Puzzles and Games » Addition Problem

Thanks both -- I've edited the original post back to what it was (and it should stay that way). smile

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