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Ratio

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Ratio [#permalink] New post 17 Oct 2012, 00:14
Answer to this please

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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Re: Ratio [#permalink] New post 17 Oct 2012, 03:25
anshulece11 wrote:
Answer to this please

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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Re: Ratio [#permalink] New post 17 Oct 2012, 04:49
anshulece11 wrote:
Answer to this please

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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Re: Ratio [#permalink] New post 27 Jan 2013, 00:09
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.
(1) 2:1 is the answer.

Sometimes, when you are stuck....back-solving works :idea:
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Re: Ratio   [#permalink] 27 Jan 2013, 00:09
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