SOLUTION: Find a whole number between 20 and 30 such that when divided INTO 71 and 94, the remainder is 2

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Question 762173: Find a whole number between 20 and 30 such that when divided INTO 71 and 94,
the remainder is 2

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
This gives us this division puzzle to solve,
to figure out what the digits A,B,C,D,E,F,G,
must be in the divisions below. Of course we 
only need A. 

    B               E
2A)71    and    2A)94
   CD              FG 
    2               2

We see right off that CD=69
and FG=92, to give the remainder 2:

    B               E
2A)71    and    2A)94
   69              92
    2               2

So B=3 in order to get the 6 digit of 69.
And E=4 in order to get the 9 digit of 92 
(with 1 to carry)

    3               4
2A)71    and    2A)94
   69              92
    2               2

Now we see that A=3 to get the 9 digit of 69,
and also to get the 2 digit of 92.

    3               4
23)71    and    23)94
   69              92 
    2               2

So the answer is 23.

Edwin


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