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Modify one digit in the number 31743 can make it a multiple of 281. What is the number after change

 Sep 18, 2021
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I set up a long multiplication.   281 * boxH  boxT  boxU = 31743  (where one digit is wrong.)

 

I assumed for the moment that the units digit really is 3

 

3*281=843

four is already in the tens column. So this would mean that BoxT would have to be 0

going a little further I found that this could not work.

So that means that either the units digit or the 10s digit was incorrect.

 

31700 divided by 281 = 112 and a bit    112 is to small, so I will just try some numbers that are a bit bigger.

 

113*281=31753

 

bingo, there is the answer.

The 4 needs to be a 5.

 Sep 18, 2021

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