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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## What is the value of (x+3y)/(3x-y)? tagged by: Max@Math Revolution ##### This topic has 2 expert replies and 0 member replies ### GMAT/MBA Expert ## What is the value of (x+3y)/(3x-y)? [GMAT math practice question] $$What\ is\ the\ value\ of\ \frac{\left(x+3y\right)}{\left(3x-y\right)}\ ?$$ $$\left(1\right)\ x-2y=1$$ $$\left(2\right)\ x-2y=0$$ _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only Worldâ€™s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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Max@Math Revolution wrote:
[GMAT math practice question]

$$What\ is\ the\ value\ of\ \frac{\left(x+3y\right)}{\left(3x-y\right)}\ ?$$

$$\left(1\right)\ x-2y=1$$
$$\left(2\right)\ x-2y=0$$
Statement 1: x - 2y = 1 --> x = 1+ 2y
Substituting, we get: (1 + 2y + 3y)/[(3(1 + 2y) -y]
(1 + 5y)/(3 + 6y -y)
(1 + 5y)/(3 + 5y)
Clearly insufficient. If y = 0, the expression equals 1/3; If y = 1, the expression equals 3/4. Because we cannot derive a single unique value, statement 1 alone is not sufficient to answer the question.

Statement 2: x -2y = 0 ---> x = 2y
Substituting we get (2y + 3y)/(3(2y) - y) = 5y/5y = 1. Because we have a unique value, this statement alone is sufficient to answer the question. The correct answer is B

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Save $100 off any live Veritas Prep GMAT Course Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! ### GMAT/MBA Expert Legendary Member Joined 24 Jul 2015 Posted: 2395 messages Followed by: 32 members Upvotes: 19 GMAT Score: => Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. When the question asks for a ratio, a fraction, a percent, a proportion or a rate, if one of conditions provides a ratio and the other condition provides a number, the condition with a ratio could be sufficient. This question asks for a ratio. Condition 1) provides a number and condition 2) provides the ratio, x/y = 2. Thus, condition 2) is likely to be sufficient. Condition 1) : If x = 3 and y = 1, then (x+3y)/(3x-y) = 6/8 = 3/4 If x = 5 and y = 2, then (x+3y)/(3x-y) = 16/13 Since we do not obtain a unique answer, condition 1) is not sufficient. Condition 2) : Since x = 2y, (x+3y)/(3x-y) = 5y/5y = 1. Condition 2) is sufficient. Therefore, B is the answer. Answer: B _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only Worldâ€™s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
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