You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Input: Consider Input: Question: Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

Option A: 23

Option B: 28

Option C: 25

Option D: 19

Option E: 11

Output: Option C

Input: Consider Input: Question: The number 46 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?

Option A: 17

Option B: 16

Option C: 15

Option D: 10

Option E: 13

Output: Option D

Input: Consider Input: Question: Rachel and Sarah started out to visit Grandma. They drove for 50 miles and stopped to rest
before driving for 30 more miles. They decided to go back 10 miles to a restaurant they had seen.
After leaving the restaurant, they drove 80 more miles to Grandma's house. How many miles did the
girls drive on the way to Grandma's house?

Option A: 150 miles

Option B: 160 miles

Option C: 170 miles

Option D: 180 miles

Option E: 200 miles
Output: Option C