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Alphametic Quickie (Posted on 2023-01-09) Difficulty: 2 of 5
A + NA + UNA + LUNA = 2022
How quickly can you solve the abovementioned alphametic using only p&p and a simple, non-scientific calculator?

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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Solution Solution Comment 4 of 4 |
Ones digit A + A + A + A = [x]2.  So A = 3 or A = 8.  And x = 1 or 3.

Tens digit:  N + N + N + x = [y]2.  
If x = 1, then N = 7 and y = 2.
If x = 3, then N = 3 and y = 1.

Hundreds digit:  U + U + y = [z]0.
y must be even, so y = 2.  Thus N = 7, x = 1, and A = 3.
Thus U = 4 and z = 1, or U = 9 and z = 2.  
But if z = 2, L = 0.

So L = 1, U = 4, N = 7, A = 3. 

  Posted by hoodat on 2023-01-09 23:20:53
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