If 3a – 2b – 2c = 32 and √3a-√(2b+2c)=5, what is the value of a + b + c?	Choose the correct choice from the following answers:  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..   9
<result>B</result>
If 3a – 2b – 2c = 32 and √3a-√(2b+2c)=5, what is the value of a + b + c?