[GMAT math practice question]9.27
xyz=2, what is the value of x/(xy+x+2) + y/(yz+y+1) + 2z/(zx+2z+2)?
A.1
B.2
C.3
D. 4
E. 5
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
xyz=2, what is the value of x/(xy+x+2) + y/(yz+y+1) + 2z/(zx
This topic has expert replies
-
Max@Math Revolution
- Elite Legendary Member
- Posts: 3991
- Joined: Fri Jul 24, 2015 2:28 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]
-
Max@Math Revolution
- Elite Legendary Member
- Posts: 3991
- Joined: Fri Jul 24, 2015 2:28 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
=>
x/(xy+x+2) + y/(yz+y+1) + 2z/(zx+2z+2)
= x/(xy+x+2) + xy/(xyz+xy+x) + 2xyz/(x^2yz+2xyz+2xy)
= x/(xy+x+2) + xy/(2+xy+x) + 2*2/(2x+2*2+2xy)
= x/(xy+x+2) + xy/(xy+x+2) + 2*2/2[(xy+x+2)]
= (xy+x+2)/(xy+x+2) = 1.
Therefore, A is the answer.
Answer: A
x/(xy+x+2) + y/(yz+y+1) + 2z/(zx+2z+2)
= x/(xy+x+2) + xy/(xyz+xy+x) + 2xyz/(x^2yz+2xyz+2xy)
= x/(xy+x+2) + xy/(2+xy+x) + 2*2/(2x+2*2+2xy)
= x/(xy+x+2) + xy/(xy+x+2) + 2*2/2[(xy+x+2)]
= (xy+x+2)/(xy+x+2) = 1.
Therefore, A is the answer.
Answer: A
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]
