Avery gets news letters by emails. He gets on for sports every five days one for model railroads every ten days and one for music every eight days. If he got all three today how many more days will it be until he gets all three newsletters on the same day again

40 days

Step-by-step explanation:

Avery gets news letters by emails. He gets one for sports every 5 days, one for model railroads every 10 days and one for music every 8 days.

we are asked to find the number of days after which he gets all three newsletters on the same day again, if gets all of them today.

In this case we will determine the lowest common multiple of these three tenure that is 5, 10 and 8

The lowest common multiple can be found like this

5 = 1 x 5

10 = 2 x 5

8 = 2 x 2 x 2

LCM = 5 x 2 x 2 x 2 = 40

Hence after 40 days, he gets all three newsletters on the same day again