the larger number is 3 less then 4 times the smaller number. the sum of the numbers is 17 find the smaller and larger number

Respuesta :

Answer:

Smaller number = 4

Larger number = 13

Step-by-step explanation:

Smaller number = x

Larger number = 4x - 3

Sum of the numbers = 17

x + 4x -3 =  17   {Combine like terms}

   5x - 3 = 17    {add 3 to boht sides}

        5x = 17 + 3

        5x = 20      {Divide both sides by 5}

          x = 20/5

         x = 4

      Larger number = 4x - 3

                               = 4*4 -3

                                = 16 - 3

                                = 13

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