Divide the number 49 into two parts, such that if the greater part is increased by 6 and the lesser part is decreased by 11, their ratio is 9 to 2.  Choose the correct choice from the following:
A) 29 B) 30 C) 31 D) 32 E) None
Let x = the greater part, and 49-x = the lesser part.   By the conditions proposed, x+6:49-x-11 = x+6:38-x- = 9:2   Adding the terms, x+6:44 = 9:11   x+6:4 = 9:1   x+6 = 36. And x = 30.   Answer 30
<result>B</result>
Divide the number 49 into two parts, such that if the greater part is increased by 6 and the lesser part is decreased by 11, their ratio is 9 to 2.