Ihave two clocks. one gains two extra minutes every day while the other loses three minutes everyday. if i start the clocks in exactly the same time, how many days will it be until the clocks tell the same time again?

If one gains two minutes and the other loses 5 minutes, then they change a total of five minutes per day. If the clocks are 12-hour clocks, it will take 12*60/5=144 days for the two clocks to be the same again. If they are 24-hour clocks, it will take 24*60/5=288 days for the clocks to show the same time.

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