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Question Number 62925 by otchereabdullai@gmail.com last updated on 26/Jun/19

Three friends , Boakye , kwame and   kojo thinking that they are decieving   their parents decided to take turns to   run away from their parent .  Boakye run away on monday of the first  week. After how many  weeks will   he run again on monday?

$$\mathrm{Three}\:\mathrm{friends}\:,\:\mathrm{Boakye}\:,\:\mathrm{kwame}\:\mathrm{and}\: \\ $$$$\mathrm{kojo}\:\mathrm{thinking}\:\mathrm{that}\:\mathrm{they}\:\mathrm{are}\:\mathrm{decieving}\: \\ $$$$\mathrm{their}\:\mathrm{parents}\:\mathrm{decided}\:\mathrm{to}\:\mathrm{take}\:\mathrm{turns}\:\mathrm{to}\: \\ $$$$\mathrm{run}\:\mathrm{away}\:\mathrm{from}\:\mathrm{their}\:\mathrm{parent}\:. \\ $$$$\mathrm{Boakye}\:\mathrm{run}\:\mathrm{away}\:\mathrm{on}\:\mathrm{monday}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first} \\ $$$$\mathrm{week}.\:\mathrm{After}\:\mathrm{how}\:\mathrm{many}\:\:\mathrm{weeks}\:\mathrm{will}\: \\ $$$$\mathrm{he}\:\mathrm{run}\:\mathrm{again}\:\mathrm{on}\:\mathrm{monday}? \\ $$

Answered by mr W last updated on 27/Jun/19

LCM(3,7)=21  i.e. after 21 days, or 3 weeks.

$${LCM}\left(\mathrm{3},\mathrm{7}\right)=\mathrm{21} \\ $$$${i}.{e}.\:{after}\:\mathrm{21}\:{days},\:{or}\:\mathrm{3}\:{weeks}. \\ $$

Commented by otchereabdullai@gmail.com last updated on 28/Jun/19

thans prof w

$$\mathrm{thans}\:\mathrm{prof}\:\mathrm{w}\: \\ $$

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