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A permuted multiplication (Posted on 2014-03-11) Difficulty: 4 of 5
In the multiplication given below, all the digits, except one, were consistently replaced by another digit:

    617 
*   702 
_______
   1639 
  3733 
 2807  
__________  
 265699

Find the substitution code and restore the original multiplication.

No Solution Yet Submitted by Ady TZIDON    
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Hints/Tips No Subject | Comment 7 of 9 |

What I meant:

Solving the ABC*CDE=EAIAGG (forget the partial products) yields two distinct solutions (Charlie's or any similar program):

a) 754*493=371722
b) 516*693=357588

Compare with the given numbers (forget the partial products):

c) 617*702=357599 

Only b) solution has one  digit (digit "1") invariant while coded.


  Posted by Ady TZIDON on 2014-03-12 10:01:55
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