What is the value of THANKSGIVING?

Question

HELP PLEASe

.....Each of the nine different letters in thanksgiving has been givin a different value 1-9 in addition we have made up a list of nine words using letters from THANKSGIVING and have totaled the value of the letters in each word for example if I=2 and N=1 Then the value of IN would be 3 (it isnt)


GNAT= 20
SHANK=29
THIS=18
HIT=13
STING =26
VANISH=29
SIGH=25
TANK=17
VIKING=32

So Whats the Value of THANKSGIVING

Answer 1

Can you please check you haven't made a mistake somewhere? I have just calculated (with 99% certainty) that there are no solutions to those equations with those restrictions.

Edit - OK, I assumed you made exactly one mistake. By removing each possible word and trying to solve it, I discovered that removing 'SIGH' was the only option that gave an answer.
t 1
h 8
a 3
n 7
k 6
s 5
g 9
i 4
v 2
where SIGH = 26, not 25. Then THANKSGIVING = 65.

That was actually a cooler puzzle that the original, assuming you made one mistake :)

Answer 2

Through logic, find out the letters one at a time. For example, HIT=13 and THIS=18, and the only difference is an S and a value of 5, so S=5. Use this information to find out the possible identities of T and G from comparing HIT and SIGH.

Is that a good start for you?

Answer 3

As far as I can tell, there is a unique algebraic solution to the problem, but it does not fit the given conditions that it must include exactly the integers 1 to 9, each once. The solution is:

T = 3
H = 10
A = -1
N = 8
K = 7
S = 5
G = 10
I = 0
V = 7

Thus the value of THANKSGIVING is 67.