If 3a – 2b – 2c = 30 and √3a-√(2b+2c)=4, what is the value of a + b + c?  Choose the most appropriate option.
A) 3	B) 9	C) 10	D) 12	E) 14
when we look at the two equations, we can relize some similarity, so lets work on it..   3a – 2b – 2c = 32 can be written as √3a^2-√(2b+2c)^2=32   {√3a-√(2b+2c)}{√3a+√(2b+2c)}=32..   or 4*√3a+√(2b+2c)=32..   or √3a+√(2b+2c)=8..   now lets work on these two equations   1)√3a-√(2b+2c)=4..   2)√3a+√(2b+2c)=8..   A) add the two eq..   √3a+√(2b+2c)+√3a-√(2b+2c)=12..   2√3a=12..   or √3a=6..   3a=36..   a=12.   B) subtract 1 from 2..   √3a+√(2b+2c)-√3a+√(2b+2c)=4..   2√(2b+2c)=4..   √(2b+2c)=2..   2b+2c=4..   or b+c=2..   from A and B a+b+c=12+2=14..   10
<result>C</result>
If 3a – 2b – 2c = 30 and √3a-√(2b+2c)=4, what is the value of a + b + c?