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A mathematician works for  hours per day and solves  problems per hour, where  and  are positive integers and . One day, the mathematician drinks some coffee and discovers that he can now solve  problems per hour. In fact, he only works for  hours that day, but he still solves twice as many problems as he would in a normal day. How many problems does he solve the day he drinks coffee?

 Jan 30, 2022
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The mathematician solves 80 problems when he drinks coffee.

 Jan 30, 2022

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