Question

Nick has tennis practice every sixth day. Mark has tennis practice every 4th day. On July 31st they both had tennis practice. When will be the next time that they both have practice on the same day?

Answer 1

August 12 is the next practice

Explanation:

So, the problem says that Nick has tennis practice every sixth day, and Mark has is every fourth day.

To find this you have to know the LCM of 6 and 4 which is 12

6: 6,12,18,24,30,36,42,48,54,60

4: 4,8,12,16,20,24,28,32,36,40

LCM of 6 and 4 = 12

Now as we know that the LCM of 6 and 4 is 12 we add on to July 31st so we get August 12.

Answer 2

Nick has tennis practice every sixth day = 6

Mark has tennis practice every 4th day = 4

They both had tennis practice on = 31st July

We have to find when will be the next time that they both have practice on the same day?

For this, we will find the LCM of 4 and 6

So, LCM of 4 and 6 is 12.

So, it will be 12 days after 31st July, that they will practice on the same day.

So it is 12th August.