Figure out word values

Given ooze, noon, tone, snooze, onset, stone, tones, fees, toffee, noses, sneeze, sense, stetson, festoons, nonsense are all legal words, and are worth 10, 20, 23, 32, 36, 36, 36, 38, 40, 44, 46, 51, 54, 59, 70 respectively, what English word with three letters is worth only 2? What is tenseness worth?

• Can words have negative values? Jul 21 '16 at 17:24
• @Areeb No - only positive integer values. Jul 21 '16 at 17:26
• Is there any significance to the fact that "snooze" and its corresponding 32 are listed twice? Jul 21 '16 at 17:33
• Uh, snooze is in there twice? Jul 21 '16 at 17:33
• no,stone listed thrice.... Jul 21 '16 at 17:34

The word worth 2 is

Zoo

Because

$e = 8$
$f = 9$
$n = 9$
$o = 1$
$s = 13$
$t = 5$
$z = 0$
And all values are added together.

Tenseness is then worth:

$5 + 8 + 9 + 13 + 8 + 9 + 8 + 13 + 13 = 86$

Found by the following:

$tone = 23$, $stone = 36 \rightarrow s = 13$
$ooze = 10$, $snooze = 32$, $snooze - ooze = sn = 22 \rightarrow n = 9$
$noon = 20 \rightarrow oo = 2 \rightarrow o = 1$
$noses = 44 \rightarrow e = 44 - 9 - 1 - 13 - 13 \rightarrow e = 8$
$ooze = 10 \rightarrow z = 10 - 1 - 1 - 8 \rightarrow z = 0$ $fees = 38 \rightarrow f = 38 - 8 -8 -13 \rightarrow f = 9$
$tone = 23 \rightarrow t = 23 - 1 - 9 - 8 \rightarrow t = 5$

As explained by the OP:

zero $\rightarrow$ = 0
two $+$ three $\rightarrow 2 + 3 = 5$
four $+$ five $\rightarrow 4 + 5 = 9$
six $+$ seven $\rightarrow 6 + 7 = 13$
eight $\rightarrow$ = 8
nine $\rightarrow$ = 9

• Are you sure S = 13? I got S = 3. Do you mind showing your work? Jul 21 '16 at 17:38
• @AggieKidd Too easy! Yes, values: z: zero (0), o: one (1), t: two + three (5), f: four + five (9), s: six + seven (13), e: eight (8), n: nine (9) Jul 21 '16 at 17:40
• beautiful!!!!!! Jul 21 '16 at 17:50

It's like calculating a system of linear equations but simpler