Ken's Puzzle of the Week

Fill in the Blanks


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Place all of the digits 0-9 into the blanks to make the sum correct.  Minimize numbers with fewer digits first.

Source: Original. [Every so often, I like to reset to a simpler puzzle.]

SolutionSolutions were received from Mark Rickert, Philippe Fondanaiche, Alan O'Donnell, Susil Kumar Jena, Kirk Bresniker, Radu Ionesu, Bernie R. Erickson, Moreau_de_Saint-Martin, and Claudio Baiocchi.  Several solvers pointed out I didn't expressly forbid leading zeros.  Usually I don't consider an n-digit number to use a leading zero, but examples of either interpretation are below (solutions from Kirk B):

 

The solution which minimizes the numbers with the fewest digits is:

     1
    42
 + 695
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  0738

If you toss out leading "0", then the solution which minimizes the numbers with the fewest digits is:

     2
    46
 + 987
 -----
  1035

A solution with the minimum sum is:

     7
    58
 + 169
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  0234

A solution with the minimum sum with no leading "0":

     3
    45
 + 978
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  1026

A solution with the maximum sum:

     5
    84
 + 973
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  1062
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