SOLUTION: NEED TO KNOW THE STEPS TO GET TO THE ANSWER! ~How soon after 5 o'clock will the hands on a clock first be together?

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Question 7219: NEED TO KNOW THE STEPS TO GET TO THE ANSWER!
~How soon after 5 o'clock will the hands on a clock first be together?
Answer by mathwhiz(13) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is 5:27. It's just easy. Just compute the angles until they will have the same measurement. It's just a matter of trial and error.
NOTE: DON'T FORGET THAT WHEN THE MINUTE HAND MOVES THE HOUR HAND ALSO MOVES.