There are two numbers such that the sum of twice the first and thrice the second is 39, while the sum of thrice the first and twice the second is 36.The largest of the two is :

A 6

B 8

C 9

D 12

Correct Answer: Option C

Let, the first number is x and second number is y

For first condition 2x+3y = 39

and for 2nd condition 3x+2y = 36

By solving the equation we get x = 6 and y = 9 , so largest number is 9