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Ok friend I think I can help you out here!
So this Wiliam fellow sure has issues. But if you think about it 4 and 6 make 24! So here we go! 4 days back medicine, 6 days asthma, 8 days back medicine, 12 days asthma, 12 days back medicine, 18 days asthma, 16 days back, now from here it was 4, 6 : 8, 12 : 12: 18 and now we have the final week which is 24 back and 24 asthma so they match up. I hope this helps and if confused draw on a piece on paper. Draw 4 boxes and 6 below them circle them and draw a line to show they are a pair and keep going soon they will be on day 24 which is matched up! Please draw this out to understand it will really help! Have a great day soon to be Einstein!