A mathematician works for t hours per day and solves p problems per hour, where t and p are positive integers and 1 (By the way, I in no way are trying to cheat. I just want to know a way to solve this, as all the solutions i got were invalid)
By Simon's Favorite Factoring Trick, the equation reduces to (p + 7)(t - 12) = 11.
The factors of 11 are 1 and 11. Since p + 7 must be at least 7, p + 7 = 11 and t - 12 = 1. Then p = 4 and t = 13.
Therefore, when the mathematician drinks coffee, he solves 2pt = 2*4*13 = 104 problems.
