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
This entry was posted in Number Puzzles and tagged . Bookmark the permalink.

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

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