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?

Question

Joseph Armstrong

Mathematics

1 August, 13:43

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?

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Answers (2)

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Evelin Preston · Answer 1

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

Step-by-step 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.

Will Harris · Answer 2

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

:multiply 4•6