## Alphametric puzzles — Part 1

Definition:   An alphametic puzzle is an arithmetic problem involving words where there is a one-to-one mapping between letters and digits that makes the arithmetic equation true.

(1)

$NOT \; + \; IN \; + \; THE \; = \; MOOD$
in base 8,   $MOOD$   is a prime number

Solved by:   David

(2)

$LETS \; + \; REALLY \; + \; TALK \; = \; TURKEY$

where   $TURKEY$   is odd

(3)

$MERRY \; + \; XMAS \; = \; DODGE$

where   $XMAS$   is prime.

(4)

$(MERRY) \,(XMAS) \; = \; CHRISTMAS$

Make this   $CHRISTMAS$   the greatest when solved in base 13

(5)

$RED \; + \; BLUE \; + \; GREEN \; = \; BROWN$

where   $BLUE$   is a square number

(6)

$TEN_{10} \; = \; NINE_{9} \; + \; 1$

(7)

$SIX_{6} \; = \; FIVE_{5}$

Minimize the base 10 value in the solution

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## About benvitalis

math grad - Interest: Number theory
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### 2 Responses to Alphametric puzzles — Part 1

1. David @InfinitelyManic says:

cheated:and used http://www.tkcs-collins.com/cgi/alpha_solve.cgi
RED + BLUE + GREEN = BROWN
B=8 D=1 E=9 G=7 L=6 N=0 O=2 R=5 U=4 W=3
591
8649
+75990
——
85230

2. David @InfinitelyManic says:

LETS + REALLY + TALK = TURKEY
A=1 E=9 K=8 L=7 R=3 S=2 T=4 U=0 Y=5
7942
391775
+ 4178
——-
403895