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A, B, C, and D are positive digits such that ABCD + BCD + CD + D + 377 = 2012. Find A + B + C + D

 Nov 17, 2022
 #1
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The closest I could find is:

 

1276 + 276 + 76 + 6 + 377 = 2011 ! [ 2012 does not work !]

 Nov 18, 2022
 #2
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Doesn't look as if it can work.

The sum on the lhs will be odd, (the digits sum is 4D + 7), and that can't equal the even number 2012.

 Nov 18, 2022

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