Question

On the first day Ben does his washing and changes his bed linen. Then Ben does his

washing every six days. He changes his bed linen every ten days.
How often does Ben do his washing and change his bed linen on the same day in one
year?

Answer 1

Ben does his washing and changes his bed linen on the same day 12 times in one year.

Step-by-step explanation:

First, we need to find the least common multiple (LCM) of the washing cycle (6 days) and the bed linen cycle (10 days). The LCM of 6 and 10 is 30.

Therefore, Ben does his washing and changes his bed linen on the same day every 30 days. In one year (365 days), there would be 365/30 = 12.166 occurrences of Ben doing his washing and changing his bed linen on the same day. Since we cannot have a fraction of an occurrence, we round it down to 12 occurrences in one year.