Answer:
They will go on golfing until 42 days on the same day again.
Step-by-step explanation:
Given:
Sherman goes golfing every 6th day and Brad goes golfing every 7th day.
If Sherman and Brad both went golfing today.
Now, to find the days until they will go golfing on the same day again.
Sherman goes golfing for every [tex]6^{th}\ day.[/tex]
And Brad goes golfing for every [tex]7^{th}\ day.[/tex]
So, to get the days until they will go golfing on the same day again find the least common multiple (LCM) of 6 and 7.
[tex]6\times 7=42.[/tex]
Therefore, they will go on golfing until 42 days on the same day again.
