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Ratio and Proportion

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Manager
Manager
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Affiliations: IIBA
Joined: 04 Sep 2010
Posts: 51
Location: India
Schools: HBS, Stanford, Stern, Insead, ISB, Wharton, Columbia
WE 1: Information Technology (Banking and Financial Services)
Ratio and Proportion  [#permalink]

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New post 15 Jun 2011, 22:29
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

92% (00:54) correct 8% (01:49) wrong based on 24 sessions

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The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 147, what is the difference between the ages of Patrick and Monica?

A. 27

B. 48

C. 45

D. 72

E. 18

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Manager
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Joined: 09 Feb 2011
Posts: 243
Concentration: General Management, Social Entrepreneurship
Schools: HBS '14 (A)
GMAT 1: 770 Q50 V47
Re: Ratio and Proportion  [#permalink]

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New post 15 Jun 2011, 22:38
Patrick: Michael: Monika
....3....:.....5....
............... 3....:.....5

To be able to compare patrick with Monika, we need to convert them into a single ratio. we know how michael's age compares to both patrick and monika, and so we convert this into a single number:
Since terms of a ratio can be multiplied/divided by same number,
Patrick: Michael: Monika
....3*3:....5*3
..............3*5:.........5*5

i.e.
Patrick: Michael: Monika
.....9...:.....15
................15..:.....25
which makes the final ratio: 9:15:25
sum of ages is 147
so, 9x+15x+25x = 147
49 x = 147
x= 3
Difference between Monica's age and patrick's age = 25 x - 9 x = 16 x
i.e. 16 *3 = 48

Answer - 48

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
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Re: Ratio and Proportion  [#permalink]

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New post 09 Sep 2018, 07:51
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: Ratio and Proportion &nbs [#permalink] 09 Sep 2018, 07:51
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