Received this query on my AllExperts page and sharing it here:
Hello,
My math teacher gave us a worksheet with six 4letter words.
Book = 13
Full= 19
Sail= 20
Boil = 11
Silk = 18
Foil = 10
Each letter in the word has a value and they all should equal the number after the word.
also, the B for instance in the word Book has to be the same value as the B in the word Boil, and etc.
I cannot figure this out after hours of trying. How do I do this? Thank you for your time!
Peace.
Interesting WordsNumbers Puzzle
Discussions on tuition centres/enrichment services that specialise in Mathematics.

whitecorp  BrownBelt
 Posts: 574
 Joined: Thu Aug 11, 2011 12:38 am
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Re: Interesting WordsNumbers Puzzle
by Sun_2010 » Tue Aug 27, 2013 12:26 pm
whitecorp wrote:Received this query on my AllExperts page and sharing it here:
Hello,
My math teacher gave us a worksheet with six 4letter words.
Book = 13
Full= 19
Sail= 20
Boil = 11
Silk = 18
Foil = 10
Each letter in the word has a value and they all should equal the number after the word.
also, the B for instance in the word Book has to be the same value as the B in the word Boil, and etc.
I cannot figure this out after hours of trying. How do I do this? Thank you for your time!
Peace.
1=O
2=L
3=I
4=F
5=B
6=K
7=S
8=A
9=U

Sun_2010  KiasuGrandMaster
 Posts: 4634
 Joined: Mon Feb 22, 2010 2:13 pm
 Total Likes: 146
Re: Interesting WordsNumbers Puzzle
by cherrygal » Tue Aug 27, 2013 12:55 pm
Can explain the logic? thanks

cherrygal  KiasuGrandMaster
 Posts: 2894
 Joined: Thu Aug 06, 2009 1:01 am
 Total Likes: 13
Re: Interesting WordsNumbers Puzzle
by XXXX » Tue Aug 27, 2013 12:59 pm
Sun_2010 wrote:whitecorp wrote:Received this query on my AllExperts page and sharing it here:
Hello,
My math teacher gave us a worksheet with six 4letter words.
Book = 13
Full= 19
Sail= 20
Boil = 11
Silk = 18
Foil = 10
Each letter in the word has a value and they all should equal the number after the word.
also, the B for instance in the word Book has to be the same value as the B in the word Boil, and etc.
I cannot figure this out after hours of trying. How do I do this? Thank you for your time!
Peace.
1=O
2=L
3=I
4=F
5=B
6=K
7=S
8=A
9=U
FULL is meant to add to 19 but your solution gives 17.
Presumably there's a typo in the question, which unfortunately likely makes it impossible to solve...
What was your method? Intuit that O,I,L must be 1,2,3 in some order and try out permutations?

XXXX  BlueBelt
 Posts: 391
 Joined: Wed Jul 04, 2012 1:10 pm
 Total Likes: 1
Re: Interesting WordsNumbers Puzzle
by Sun_2010 » Tue Aug 27, 2013 2:05 pm
XXXX wrote:.
FULL is meant to add to 19 but your solution gives 17.
Presumably there's a typo in the question, which unfortunately likely makes it impossible to solve...
What was your method? Intuit that O,I,L must be 1,2,3 in some order and try out permutations?
No typo, my mistake
It should be L= 3 and I =2
1+2+3+4=10
Since foil =10 , they must be 1,2,3,4
Boil=11
So b=f+1
So f must be 4 , b must be 5
Book=13
ook=135=8
So o has to be 1 and k is 6
From sail and silk, a= k+2=8
Sail=20.
i+l=5 so s =7
So u can only be 9
From full =19, L= 3 and I=2

Sun_2010  KiasuGrandMaster
 Posts: 4634
 Joined: Mon Feb 22, 2010 2:13 pm
 Total Likes: 146
Re: Interesting WordsNumbers Puzzle
by XXXX » Tue Aug 27, 2013 4:04 pm
Sun_2010 wrote:XXXX wrote:.
FULL is meant to add to 19 but your solution gives 17.
Presumably there's a typo in the question, which unfortunately likely makes it impossible to solve...
What was your method? Intuit that O,I,L must be 1,2,3 in some order and try out permutations?
No typo, my mistake
It should be L= 3 and I =2
1+2+3+4=10
Since foil =10 , they must be 1,2,3,4
Boil=11
So b=f+1
So f must be 4 , b must be 5
Book=13
ook=135=8
So o has to be 1 and k is 6
From sail and silk, a= k+2=8
Sail=20.
i+l=5 so s =7
So u can only be 9
From full =19, L= 3 and I=2
Nicely done. I was blinded by trying to keep the letters in alphabetical order for some reason.

XXXX  BlueBelt
 Posts: 391
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 Total Likes: 1

cherrygal  KiasuGrandMaster
 Posts: 2894
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 Total Likes: 13
Re: Interesting WordsNumbers Puzzle
by whitecorp » Tue Aug 27, 2013 8:16 pm
When I solved this for the student, I took into account the possibility that the value assigned to each letter may not be unique (the problem certainly doesn't emphasize it must be for that matter).
In such circumstances a myriad of answers can be obtained. One logical set would be:
A=9, B= 2, F=1, I=1, K=7 , L=6 , O=2, S=4 and U=6.
And many more can be computed.
Peace.
In such circumstances a myriad of answers can be obtained. One logical set would be:
A=9, B= 2, F=1, I=1, K=7 , L=6 , O=2, S=4 and U=6.
And many more can be computed.
Peace.

whitecorp  BrownBelt
 Posts: 574
 Joined: Thu Aug 11, 2011 12:38 am
 Total Likes: 0
Re: Interesting WordsNumbers Puzzle
by whitecorp » Thu Aug 29, 2013 7:07 pm
For those who are interested, I have answered things here on my site:
http://www.alevelmaths.com/apps/blog/s ... erproblem
Peace.
http://www.alevelmaths.com/apps/blog/s ... erproblem
Peace.

whitecorp  BrownBelt
 Posts: 574
 Joined: Thu Aug 11, 2011 12:38 am
 Total Likes: 0
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