Respuesta :

Answer:

The numbers are 87 and 130

Step-by-step explanation:

  • Call the numbers x and y
  • [tex]x+y=217[/tex] [1]
  • [tex]y-x=43[/tex] [2]
  • Rearrange [2] to make y the subject
  • [tex]y=43+x[/tex] [3]
  • Substitute [3] into [1]
  • [tex]x+(43+x)=217[/tex]
  • [tex]2x+43=217[/tex]
  • [tex]2x=174[/tex]
  • [tex]x=87[/tex] [4]
  • Use [4] for [2]
  • [tex]y-87=43[/tex]
  • [tex]y=130[/tex]

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