Respuesta :

Answer:

156,23

Step-by-step explanation:

let the numbers be x and y and x>y

x+y=179

x-y=133

add

2x=312

x=156

156+y=179

y=179-156=23

renknee

Answer:

156 and 23

Step-by-step explanation:

  • We can use system of equations to solve this problem.

Step 1: Set up the system of equations.

  • [tex]\left \{ {{x+y=179} \atop {x-y=133}} \right.[/tex]

Step 2: Solve x + y = 179 for x.

  • [tex]x + y = 179[/tex]
  • [tex]x + y - y = 179 - y[/tex] (Subtract y from both sides)
  • [tex]x = -y + 179[/tex]

Step 3: Substitute -y + 179 for x in x - y = 133.

  • [tex]x-y=133[/tex]
  • [tex]-y+179-y=133[/tex]
  • [tex](-y-y)+(179)=133[/tex] (Combine like terms)
  • [tex]-2y + 179 = 133[/tex]
  • [tex]-2y + 179 - 179 = 133 - 179[/tex] (Subtract 179 from both sides)
  • [tex]-2y = -46[/tex]
  • [tex]\frac{-2y}{-2} = \frac{-46}{-2}[/tex] (Divide both sides by -2)
  • [tex]y = 23[/tex]

Step 4: Substitute 23 for y in x = -y + 179

  • [tex]x = -23 + 179[/tex]
  • [tex]x = 156[/tex]

Therefore, the numbers are 156 and 23.

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