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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 2 of 4 |
To get a 2 in the last position requires A to be 3 or 8 as 4*3=12 or 4*8=32.

The former requires that 3*N end in 1; the latter that 3*N end in 9, so as to combine with the carry of 1 or 3 to produce 2. N should be 7 or 3 respectively.

38*3+8 = 122 ane 73*3+3 = 222, leaving LU + U as being required to add to 19 or 18. The former can't be the case as the sum must be even.

73 does work out for NA, with LU+U being 14 + 4 = 18.

So 3 + 73 + 473 + 1473 = 2022.

  Posted by Charlie on 2023-01-09 10:41:18
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