Definition: In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
Input: Problem: the sum of two numbers is 45 . sum of their quotient and reciprocal is 2.05 , find the product of the numbers .
Options: a ) 339 , b ) 500 , c ) 288 , d ) 277 , e ) 112
Output:
b