# math 7

together paul & harvey are going to visit their aunt on sunday. If paul visit their aunt every 6 days while harvey every 8 days, on what day will they visit their aunt together?

(With solution pls).. tnx...

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1. the easy way is just to list the sequences of days:

6 12 18 24 ...
8 16 24 ...

and see where they collide.

The general way to do it algebraically is to note that

6 = 2*3
8 = 2^3

The smallest multiple of both 6 and 8 is therefore 2^3 * 3 = 24

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posted by Steve

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