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What is the smallest number larger than 3456 who's digits add up to 12. 

 Sep 2, 2022
 #1
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The smallest number  > 3456==3504

 Sep 2, 2022
 #2
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Hello guest,

I think you mean integer. If so, then we can assume that the first digit is \(3.\) So we're looking for is a \(3\)-digit number greater than \(456\) that adds up to \(9\).

 

The first digit of this 'mystery' number can't be \(4,\) because the two numbers after it have to add up to \(5\) which is impossible in this case.

 

Thus the first digit must be \(5.\) The next two numbers must add up to \(4,\) which \(0\) and \(4 \) do perfectly. Thus the smallest integer larger than \(3456\) that satisfys this is \(\boxed{3504.}\)

 Sep 3, 2022
edited by billy.zhang  Sep 3, 2022

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