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# The numbers x, y and z are in the ratio 3 to 4 to 5. What is the value

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6985
GMAT 1: 760 Q51 V42
GPA: 3.82
The numbers x, y and z are in the ratio 3 to 4 to 5. What is the value  [#permalink]

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05 Sep 2018, 01:16
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Difficulty:

5% (low)

Question Stats:

86% (00:57) correct 14% (00:57) wrong based on 70 sessions

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[Math Revolution GMAT math practice question]

The numbers $$x, y$$ and $$z$$ are in the ratio $$3$$ to $$4$$ to $$5$$. What is the value of $$x$$?

1) $$y = 16$$
2) The difference between $$y$$ and $$z$$ is $$4$$

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Expert Joined: 02 Aug 2009 Posts: 7335 Re: The numbers x, y and z are in the ratio 3 to 4 to 5. What is the value [#permalink] ### Show Tags 05 Sep 2018, 01:33 MathRevolution wrote: [Math Revolution GMAT math practice question] The numbers $$x, y$$ and $$z$$ are in the ratio $$3$$ to $$4$$ to $$5$$. What is the value of $$x$$? 1) $$y = 16$$ 2) The difference between $$y$$ and $$z$$ is $$4$$ We know the ratio x:y:z=3:4:5=3a:4a:5a So if we know any one value, we can find all 1) y=16 So 4a=16....a=4 x=3a=4*3=12 Sufficient 2) z-y=4 So 5a-4a=4....a=4 So x=3a=3*4=12... But is it possible that 4a-5a=4...a=-4 and thus 3a=-12 NO, because generally on GMAT, the ratios are of positive quantity So only one value 12 Sufficient D _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html 4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html GMAT Expert Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6985 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The numbers x, y and z are in the ratio 3 to 4 to 5. What is the value [#permalink] ### Show Tags 07 Sep 2018, 00:16 => Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method I s 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. The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. The original condition gives the proportion $$x : y : z = 3 : 4 : 5$$, so we can write $$x = 3k, y = 4k$$ and $$z = 5k$$. We have 4 variables and 3 equations. Therefore, D is most likely to be the answer. Condition 1) is sufficient since $$16 = y = 4k$$, and so $$k = 4$$. Then $$x = 3k = 12.$$ Condition 2) is also sufficient since $$4 = z – y = 5k – 4k = k$$. So, $$x = 3k = 12.$$ Tip 1) of VA method states that D is most likely to be the answer if conditions 1) and 2) give similar information. Therefore, D is the answer. Answer: D _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
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Manager
Joined: 21 Jun 2017
Posts: 234
Concentration: Finance, Economics
WE: Corporate Finance (Commercial Banking)
Re: The numbers x, y and z are in the ratio 3 to 4 to 5. What is the value  [#permalink]

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13 Sep 2018, 09:21
1
Dear moderator,

This is not a work rate problem. Please amend the tag.
Thanks
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Math Expert
Joined: 02 Sep 2009
Posts: 53066
Re: The numbers x, y and z are in the ratio 3 to 4 to 5. What is the value  [#permalink]

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13 Sep 2018, 20:09
Shank18 wrote:
Dear moderator,

This is not a work rate problem. Please amend the tag.
Thanks

______________
Done. Thank you.
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Re: The numbers x, y and z are in the ratio 3 to 4 to 5. What is the value   [#permalink] 13 Sep 2018, 20:09
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# The numbers x, y and z are in the ratio 3 to 4 to 5. What is the value

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