Posted by **Julia** on Monday, June 17, 2013 at 7:43am.

A homeowner empties her hot water heater every 36 days and changes the filter in the heat pump every 48 days. She did both on Friday September 17, 2012. When again will she do both on the same day? (give the day of the week, the date, month, and year)

- Math -
**Reiny**, Monday, June 17, 2013 at 8:13am
This is like finding the LCM of 36 and 48

36 = 2x2x3x3

48 = 2x2x2x2x3

LCM = 2x2x2x2x3x3 = 144

So it will happen 144 from Sept 17, 2012

BTW, Sept 17, 2012 was a **Monday** , not a **Friday** , so I will let you sort out the rest.

http://www.searchforancestors.com/utility/dayofweek.html

## Answer This Question

## Related Questions

- Math For Educators - A homeowner empties her hot water heater every 36 days and...
- math - Anita does laundry every other day. Every five days she changes sheets. ...
- math - john calls his dad every 3 days. Katie calls every 4 days. Jamie calls ...
- Math - I get a black strip every 10 days. A white strip every 20 days, and a red...
- math - Anthony decided to run one mile every 5 days. John decided to run two ...
- math - Anthony decided to run one mile every 5 days. John decided to run two ...
- math - Venus begins a new year every 225 days. Earth begins a new year every 365...
- math - Venus begins a new year every 225 days. Earth begins a new year every 365...
- Math - If Steven rock climbs every 5 days and bikes every 3 days. If he runs and...
- math - George vacuums the rugs every 18 days, mows the grass every 9 days, and ...

More Related Questions