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Nora and Renata had an equal number of polished stones at first. After Nora received 65 more stones and Renata lost 23 stones, Nora had three times as many stones as Renata. How many stones did they have altogether at first?

 Sep 16, 2021
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   Nora and Renata had an equal number of polished stones at first.     

   After Nora received 65 more stones and Renata lost 23 stones,     

   Nora had three times as many stones as Renata.     

   How many stones did they have altogether at first?     

 

   N  =  R     

   N + 65 = 3 (R – 23)     —>     N + 65  =  3 (N – 23)     

                                                 N + 65  =  3N – 69     

                                                      134  =  2N     

                                                          N  =  67     

                                       N = R so     R  =  67     

                                      altogether           134     

 

   check answer     

 

              N + 65  =  3 (R – 23)     

   Does 67 + 65  =  3 (67 – 23) ?     

                  132  =  201 – 69     

                  132  =  132  True     

   .     

 Apr 19, 2026

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