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# Ratio

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Intern
Joined: 01 May 2012
Posts: 15

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17 Oct 2012, 01:14

if average height of man is 72 inches and of women is 66 inches and their combined is of 70 what is ratio of m to w question of gmat.

2:1,3:1,12:11

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Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 636

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Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)

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17 Oct 2012, 04:25
anshulece11 wrote:

if average height of man is 72 inches and of women is 66 inches and their combined is of 70 what is ratio of m to w question of gmat.

2:1,3:1,12:11

Hi anshul,

Lets assume number of male:m
Numbe of female:w

Hence from given question stem, total height of m men = 72 *m
Similarly total height of w women = 66*w

Therefore, average height of combined group, A = $$(72m +66w)/(m+w)$$

but we are given that average height of group is 70, hence A=70

$$=> 70 = (72m +66w)/(m+w)$$
$$=>70m+70w = 72m+66w$$
$$=>2m = 4w$$
$$=>m/w=2:1$$
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Director
Joined: 22 Mar 2011
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WE: Science (Education)

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17 Oct 2012, 05:49
anshulece11 wrote:

if average height of man is 72 inches and of women is 66 inches and their combined is of 70 what is ratio of m to w question of gmat.

2:1,3:1,12:11

For weighted averages, check out this: at-a-certain-company-average-arithmetic-mean-number-of-137851.html#p1115917
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PhD in Applied Mathematics
Love GMAT Quant questions and running.

Kudos [?]: 1056 [0], given: 43

Director
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 536

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Location: India
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27 Jan 2013, 01:09
Tried this question on intuition , since the average of both is 2 points below than the male's average, so male number might be more than that of female.

Solving, backwards (starting from the answer choice) and starting from the easiest.
(1) 2:1

total average=
(72x2+66x1)/3=210/3=70 i.e the given combined average.

Sometimes, when you are stuck....back-solving works
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Re: Ratio   [#permalink] 27 Jan 2013, 01:09
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# Ratio

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