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Playing With Numbers

Question
CBSEENMA8002735

Check what the result would have been if Sudaram had chosen the numbers shown below. 1. 417 2. 632 3. 117 4. 937

Solution

1.                 Chosen number = 417
      Two other numbers with the same digits are 741 adn 174
     Sum of the three number
          
                                         4 1 7
                                      + 7 4 1
                                      + 1 7 4
                                     ________
                                       1 3 3 2    
                                     ________

We have       1332 + 37 = 36, remainder = 0
      

2.                 Chosen number = 632
      Two other numbers with the same digits are 263 adn 326
     Sum of the three number
          
                                         6 3 2
                                      + 2 6 3
                                      + 3 2 6
                                     ________
                                       1 2 2 1     
                                     ________

We have       1221 + 37 = 33, remainder = 0

3.                 Chosen number = 117
      Two other numbers with the same digits are 711 adn 171
     Sum of the three number
          
                                         1 1 7
                                      + 7 1 1
                                      + 1 7 1
                                     ________
                                        9 9 9    
                                     ________

We have       999 + 37 = 27, remainder = 0

4.                 Chosen number = 937
      Two other numbers with the same digits are 793 adn 379
     Sum of the three number
          
                                         9 3 7
                                      + 7 9 3
                                      + 3 7 9
                                     ________
                                       2 1 0 9    
                                     ________

We have       2109 + 37 = 57, remainder = 0