Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Input: Consider Input: Problem: the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 22 years. find the average age of the women ?
Options: a. 87, b. 98, c. 30, d. 29, e. 37

Output: d


Input: Consider Input: Problem: if x and y are positive integers and 3 + x + y + xy = 17, what is the value of x + y ?
Options: a. 3, b. 5, c. 6, d. 8, e. 9

Output: c


Input: Consider Input: Problem: a ladder 22 feet long is leaning against a wall that is perpendicular to level ground. the bottom of the ladder is 7 feet from the base of the wall. if the top of the ladder slips down 3 feet, how many feet will the bottom of the ladder slip ?
Options: a. 12.86, b. 15, c. 18, d. 19, e. 25


Output: a