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I was looking in a drawer the other day, for a book of postage stamps that I knew were there somewhere, when I came across an old invoice. It was for 72 tins of ham. Apparently I'd  payed $x67.9y for them but as you can see, the first and last digits were illegible.

Out of curiosity I'd like to know what the missing digits were, so if anyone could help ?

I have to confess that I'm rather more interested in some sort of mathematical procedure for finding the digits rather than the digits themselves, (in case it happens again), so a trial and error type solution would not be that interesting.

 Nov 18, 2015
 #1
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This question cannot be answered.  I have no idea how good of a shopper you are.....you could have way overpaid!

 Nov 18, 2015
 #2
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I don't have a "mathematical proceedure" for solving this, but....there are some clues as to what the answer might be.....

 

First.......since you bought 72 tins, the ending digit must be even......Secondly, since 72 is divisible by 3, the sum of the digits of the total price must be divisible by 3.

 

Let the final digit = 0........then, the possibilties in this case might be that  the price was either $267.90, $567.90  or $867.90.....unfortunately......none of these give a non-repeating answer

 

Let's say the final digit = 2.........the the possible prices are either $367.92, $667.92  or $967.62

 

And I think you will find that $367.92 produces the correcf price of $5.11  per tin........

 

 

cool cool cool

 Nov 18, 2015

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