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]
