32.5k views
5 votes
Tom and David get their hair cut at the Broadway Barber Shop on Saturdays. Tom gets his hair cut every 4 weeks. David gets his hair cut every 6 weeks. One Saturday, Tom and David got their hair cut at the same time. When will Tom and David get their hair cut on the same day again?

User Zhiyong
by
4.8k points

2 Answers

1 vote
Tom and David got their hair cut on the same day in the 24 week

:multiply 4•6
User Libi
by
4.6k points
4 votes

Answer:

In 12 weeks they will get their hair cut again on the same day.

Explanation:

Tom gets his hair cut every 4 weeks. David gets his hair cut every 6 weeks.

One Saturday, Tom and David got their hair cut at the same time.

To solve this we will find the LCM of 4 and 6.

4 = 2 x 2

6 = 2 x 3

LCM = 2 x 2 x 3 = 12

So, in 12 weeks they will get their hair cut again on the same day.

User Vijay Prajapati
by
5.1k points