Question

Room A and B were both cleaned today.- Room A is cleaned every 9 days.- Room B is cleaned every 6 days.What is the fewest number of days that will pass before both rooms are cleaned again on the same day?

Answer 1

Answer:

18 days

Explanation:

To determine the fewest number of days that will pass before both rooms are cleaned again on the same day, we list the multiple of each of the days.

$\begin{gathered} 6=6,12,18,24,30,36,42,48\ldots \\ 9=9,18,27,36,45,54,\ldots \end{gathered}$

The next multiple 6 and 9 have in common is 18.

Therefore, after 18 days has passed, the two rooms will be cleaned on the same day.