George vacuums the rugs every 18 days, mows the grass every 9 days, and pays the bills every 15 days. Today he did all three. How long will it be before he has another day like today?
To find out when George will have another day like today where he does all three tasks (vacuums the rugs, mows the grass, and pays the bills), we need to find the least common multiple (LCM) of 18, 9, and 15.
First, let's find the multiples of each number until we find a common multiple:
Multiples of 18: 18, 36, 54, 72, 90, ...
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...
Multiples of 15: 15, 30, 45, 60, 75, 90, ...
From the lists, we can see that the least common multiple (the smallest number that appears in all three lists) is 90. Therefore, George will have another day like today in 90 days.
So, it will be 90 days before George has another day where he vacuums the rugs, mows the grass, and pays the bills altogether.