482 Rational Expressions and Equations Lesson #9: Solving Problems ... Use the following information to answer the next question. Darren and James are playing a number game. James selects two even whole numbers and tells Darren that the difference between the reciprocals of the numbers is -18 Darren has five minutes to determine all the possible solutions to the problem. He gets one point for every second less than five minutes that it takes him to determine the solution. 5. a) If Darren represented the smaller number with n, write an expression for the larger number. nit 2 b) Darren determined that the only solution to the problem was n = 10 and concluded that James chose the numbers 10 and 12. Form a rational equation and solve it to check if Darren has determined all possible solutions