Problema Solution
You and your brother both work the 4:00 P.M. to midnight shift. You have every fourth night off. Your brother has every sixth night off. Both of you were off on November 1. Your brother would like to see a movie with you. When will the two of you have the same night off again?
Answer provided by our tutors
We need to find the least common multiple for 4 and 6:
This means that the 12th day after November 1 will be their night off together, that is on 1 + 12 = 13 of November.
Indeed:
You:
1 November - night off
5 November - night off
9 November - night off
13 November - night off
Your brother:
1 November - night off
7 November - night off
13 November - night off