Answer: 18 Days
Explanation:
Let's look at their indivigual schedules for hte nex little While
<-0------6------12---->
t=Tim does laundry every 9 days
<-0---------9---------->
They haven't done laundry on the same day again yet, so let's keep going!
When we keep goin, we see thar the multiple first meet at 18
Ronal
<-0----6----18----27---->
Tim
<-0----9----18----27--->
Mathematically, we say that 18 is the least common multiple of 6 and 9. in math notation this looks like:
lcm (6, 9) = 18