Question 619076
The sum of two consecutive odd numbers plus the next even number is 926. Write an algebraic equation that can be used to solve this problem.

   We  have  3  unknown  numbers.
       odd  number  one     odd  number  two  and  the  next  even  number.

    let first  odd  number  be  represented  by  x
                   The  second  odd  number  is   x + 2
               and  the  next  even  number  is   x +  3


          x          +     x  + 2        +      x  +  3    =    926 *

     (first  odd )       ( next  odd)    +   ( next  even)   =  926

        combining  lime terms   we  get  3x  +  5  =  926
                                              - 5  =   -5
                                         __________________

                                           3x   =  921       
                            
                                             x    =  307                        
         Then  x + 2   is  next  odd number       =  309
         and  the  next  even  number  is         =  310

     307   +   309   +  310   =   926

     
        *    Since  odd  numbers  are  all  separated  by  2 
                     ( for  ex  5,7,9,11)

          Then  if  x  is  first  odd  number, we have to add  2  to get the  
             NEXT(consecutive)   odd  number.