Answer:
[tex]Numbers\ are\ 58\ and\ 51.[/tex]
Step-by-step explanation:
The the numbers are [tex]x\ and\ y[/tex].
Difference:
[tex]Difference\ of\ numbers=7\\\\x-y=7....................eq(1)[/tex]
Sum:
[tex]Sum\ of\ numbers=109\\\\x+y=109...........................eq(2)[/tex]
Solve [tex]eq(1)[/tex] and [tex]eq(2)[/tex].
[tex]eq(1)+eq(2)\\\\x-y+x+y=7+109\\\\2x=116\\\\x=58\\\\Now\ from\ equation\ 1\\\\x-y=7\\\\y=x-7\\\\y=58-7\\\\y=51[/tex]
