joe visits the gym once every four days. Ben visit the gym once every six days. both of them visit the gym today, which is a Tuesday. On which day will they meet each other again in the gym? Show your solution.

Question

anonymous · Answer

Sunday but I don't know what the solution you want to show is

anonymous · Answer

we're studying ratio and proportion.

geerky42 · Answer

$\text{LCM}(4,6) = 12$

So they meet every 12 days.

So 12 days past Tuesday is 5 days past next week Tuesday, which is $\boxed{\text{Saturday}}$

anonymous · Answer

hi @geerky42! i appreciate your response.  how shall i arrive with 12? :)

geerky42 · Answer

Just find least common multiple of 4 and 6. http://www.mathsisfun.com/least-common-multiple.html

anonymous · Answer

geeh, thanks! when shall i start counting off the 12 days? tuesday or wednesday? :)

geerky42 · Answer

Well, they meet on Tuesday, so start there. then it's day 1 on Wednesday. Day 2 on Thursday, and so on.

anonymous · Answer

many thanks, @geerky42!