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.

[EX Q]: Problem: an article is bought for rs. 675 and sold for rs. 900, find the gain percent ?
Options: a. 33 1 / 8 %, b. 33 9 / 3 %, c. 33 1 / 3 %, d. 93 1 / 3 %, e. 33 2 / 3 %
[EX A]: c

[EX Q]: 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
[EX A]: c

[EX Q]: Problem: the sum of two consecutive integers is 51. find the numbers.
Options: a. 17, 18, b. 7, 8, c. 5, 6, d. 1, 2, e. 25,26
[EX A]:
e