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

Guest Sep 18, 2021

#1**+1 **

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.

Melody Sep 18, 2021