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?
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$\begingroup$ Can words have negative values? $\endgroup$– AreebCommented Jul 21, 2016 at 17:24
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1$\begingroup$ @Areeb No - only positive integer values. $\endgroup$– martinCommented Jul 21, 2016 at 17:26
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$\begingroup$ Is there any significance to the fact that "snooze" and its corresponding 32 are listed twice? $\endgroup$– Gareth McCaughan ♦Commented Jul 21, 2016 at 17:33
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$\begingroup$ Uh, snooze is in there twice? $\endgroup$– KlyzxCommented Jul 21, 2016 at 17:33
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$\begingroup$ no,stone listed thrice.... $\endgroup$– NumberknotCommented Jul 21, 2016 at 17:34
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2 Answers
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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
answered Jul 21, 2016 at 17:35
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$\begingroup$ Are you sure S = 13? I got S = 3. Do you mind showing your work? $\endgroup$– AreebCommented Jul 21, 2016 at 17:38
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2$\begingroup$ @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) $\endgroup$– martinCommented Jul 21, 2016 at 17:40
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It's like calculating a system of linear equations but simpler
