Respuesta :

mhanifa

Answer:

  • The numbers are 8 and 10.

Step-by-step explanation:

Let the numbers be x and y.

The sum of two numbers is eighteen:

  • x + y = 18

The total of three times the smaller and twice the larger is forty-four:

  • 3x + 2y = 44

Solve the system by substitution:

  • x = 18 - y

Substitute x and solve for y:

  • 3(18 - y) + 2y = 44
  • 54- 3y + 2y = 44
  • 54 - y = 44
  • y = 54 - 44
  • y = 10

Find x:

  • x = 18 - 10
  • x = 8