Answer:
42 days
Explanation:
lest's take a look at the days when Sherman Brad will each go golfing
Sherman goes golfing 6th day.
<-0---6---12---18---24---30->
Brad goes to golfing every 7th day.
<-0---7---14---21---28->
They havent golfed on the same day yet, so let's keep gpoing!
When we keep going, we see that the multiples first meet at 42.
Sherman
<-0---6---12---18---24---30---42---48->
Brad
<-0---7---14---21---28---35---42---49-->
Mathematically, we say that 42 is the least common multiple of 6 and 7. In math notation this looks like:
lcm (6, 7) = 42
Sherman and Brad will be golfing on the same day again in 42 days.