In this task, you need to provide the correct option for a given problem from the provided options.

Example Input: Problem: the hcf of two numbers is 23 and the other two factors of their lcm are 13 and 14 . what is the largest number ?
Options: a ) 280 , b ) 284 , c ) 292 , d ) 320 , e ) 322
Example Output: e

Example Input: Problem: a business finds that their ratio of spending to income is 5 to 9 . their total profit is $ 48000 . what is their total income ?
Options: a ) $ 90000 , b ) $ 108000 , c ) $ 119000 , d ) $ 126000 , e ) $ 140000
Example Output: b

Example Input: Problem: two numbers are in the ratio of 5 : 7 . if 33 is subtracted from each number , they are in the ratio of 1 : 2 . what are the two numbers ?
Options: a ) 45 , 63 , b ) 50 , 70 , c ) 55 , 77 , d ) 60 , 84 , e ) 65 , 91
Example Output:
c