Question

The 6th grade science teacher gives a test every 12 days and the math teacher gives a test every 9 days. Today, both the science and math are giving tests. In how many days will the science and math teachers both give tests on the same day again?
HELP

Answer 1

In 36 days will the science and math teachers both give tests on the same day again.

Step-by-step explanation:

Here we have , The 6th grade science teacher gives a test every 12 days and the math teacher gives a test every 9 days. Today, both the science and math are giving tests. We need to find In how many days will the science and math teachers both give tests on the same day again . Let's find out:

It's given that  science teacher gives a test every 12 days and the math teacher gives a test every 9 days . In order to find the number of days after which they'll give test at same day  , we will find LCM of 12 & 9 . i.e.

⇒ $12(1)=12\\12(2)=24\\12(3)=36$       and  ,

⇒ $9(1)=9\\9(2)=18\\9(3)=27\\9(4)=36$

Hence , LCM of 12 and 9 is 36 . Therefore , In 36 days will the science and math teachers both give tests on the same day again.