Answer:
The numbers are 229 and 27
Step-by-step explanation:
Let the numbers be x and y, where x>y.
Their sum is 256, so we have [tex]x+y=256[/tex].
When we divide the larger number by the smaller number, the quotient is 8 and the remainder is 13.
[tex]x=8y+13[/tex]
We substitute the second equation into the first equation to get:
[tex]8y+13+y=256[/tex].
[tex]8y+y=256-13[/tex]
[tex]9y=243[/tex]
[tex]x=27[/tex]
[tex]x=8*27+13[/tex]
[tex]x=8*27+13[/tex]
