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 larger of the two is	Choices.
A) 6
B) 9
C) 12
D) 15
E) 17
Sol.   Let the numbers be x and y.   Then, 2x + 3y = 39 ................(i)   3x + 2y = 36 .................(ii)   On solving (i) and (ii), we get : x = 6 and y = 9.   ∴ Larger number = 9.   Answer 9
<result>B</result>
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 larger of the two is