Reply To: The Sunday Puzzle Thread

[ByteInBits]

SUNDAY PUZZLE #1 = Additive Alphametic
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 DATA
+DATA
=====
FACTS

For the alphametric with no leading zero allowed
assuming base 10, there is 1 unique solution.

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SOLUTION IN BASE 10

Letter number values
 A  S  T  C  D  F 
 7  4  9  5  8  1 

 8797
+8797
=====
17594

SOLUTION IN BASE 10 IF LEADING ZERO ALLOWED

Letter number values
 A  S  T  C  D  F 
 7  4  9  5  3  0 

 3797
+3797
=====
07594

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A SOLUTION IN BASE 9

Letter number values
 A  S  T  C  D  F 
 6  3  8  4  7  1 

 7686
+7686
=====
16483

A SOLUTION IN BASE 9 IF A LEADING ZERO IS ALLOWED

Letter number values
 A  S  T  C  D  F 
 7  5  8  6  3  0 

 3787
+3787
=====
07685

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A SOLUTION IN BASE 8

Letter number values
 A  S  T  C  D  F 
 5  2  7  3  6  1 

 6576
+6576
=====
15372

-----------------------------------------------
A SOLUTION IN BASE 7 IF A LEADING ZERO IS ALLOWED

Letter number values
 A  S  T  C  D  F 
 5  3  6  4  2  0 

 2562
+2562
=====
05463

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Care to solve the unique base 10 solution for the following?

 CROSS
+ROADS
======
DANGER

[Posted 03th September 21:25, Harry]