If x(a + b) = y, where y ≠ 0 and 2a = 3b = 1, then y/x =

Question

(A) 1/6
(B) 1/3
(C) 2/3
(D) 5/6
(E) 6/5

PS21159

GMATinsight · Answer

x(a + b) = y

i.e. y/x = (a+b)

Given, 2a = 3b = 1

i.e. a = 1/2 and b = 1/3

i.e. a+b = 1/2 + 1/3 = 5/6

Answer: Option D

BrentGMATPrepNow · Answer

Given: 2a = 1 
Divide both sides by 2 to get: a =  1/2

Given: 3b = 1 
Divide both sides by 3 to get: b =  1/3

Given: x(a + b) = y 
Substitute to get: x( 1/2  +  1/3 ) = y
Rewrite with common denominators: x(3/6 + 2/6) = y
Simplify: (x)(5/6) = y
Divide both sides by x to get: 5/6 = y/x

Answer: D

Cheers, 
Brent

Abhishek009 · Answer

2a = 3b = 1

So,  a = \frac{1}{2}  &  b = \frac{1}{3}

x(a + b) = y

Or,  x ( \frac{1}{2} + \frac{1}{3}) = y

Or,  5x/6 = y

Hence,  \frac{y}{x} = \frac{5}{6} , Answer must be (D)

DanTheGMATMan · Answer

Keep it simple. Just need to know a + b:

https://www.youtube.com/watch?v=UKUfH5HKDvo

If x(a + b) = y, where y ≠ 0 and 2a = 3b = 1, then y/x =

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GMAT Problem Solving (PS) Questions

If x(a + b) = y, where y ≠ 0 and 2a = 3b = 1, then y/x =

Prep Toolkit

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More than Quant/Verbal Abilities: Speed vs. Accuracy

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