The sum of two integers is 51. The larger number is 3 more than 5 times the smaller number. Find the value of the larger number

Respuesta :

Answer:

Larger number = 43

Step-by-step explanation:

Let the smaller number be 'x'

Larger number = 5x + 3

Smaller number + larger number = 51

  x + 5x + 3  = 51          {Combine the like terms}

        6x + 3 = 51          {Subtract 3 from both sides}

              6x = 51 - 3

              6x = 48        {Divide both sides by 6}

                x = 48/6

               x = 8

Larger number = 5x + 3

                         = 5*8 + 3

                         = 40 + 3

                         = 43

Answer:

Larger number = 43

Step-by-step explanation:

Let the smaller number be 'x'

Larger number = 5x + 3

Smaller number + larger number = 51

 x + 5x + 3  = 51          {Combine the like terms}

       6x + 3 = 51          {Subtract 3 from both sides}

             6x = 51 - 3

             6x = 48        {Divide both sides by 6}

               x = 48/6

              x = 8

Larger number = 5x + 3

                        = 5*8 + 3

                        = 40 + 3

                        = 43