Answers

1. 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

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