AMC 12B 2021 Spring Problem 10

Two distinct numbers are selected from the set \{1,2,3,4, \ldots, 36,37\} so that the sum of the remaining 35 numbers is the product of these two numbers. What is the difference of these two numbers?

Answer Choices
A. 5
B. 7
C. 8
D. 9
E. 10