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Ana is a girl and has the same number of brothers as sisters

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leeto
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Ana is a girl and has the same number of brothers as sisters [#permalink] New post   Updated on: 19 Apr 2016, 23:23
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Ana is a girl and has the same number of brothers as sisters. Andrew is a boy and has twice as many sisters as brothers. Ana and Andrew are the children of Emma. How many children does Emma have?

(A) 2
(B) 3
(C) 5
(D) 7
(E) 8


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Originally posted by leeto on 15 Apr 2016, 09:01.
Last edited by leeto on 19 Apr 2016, 23:23, edited 1 time in total.
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aroy
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Re: Ana is a girl and has the same number of brothers as sisters [#permalink] New post   15 Apr 2016, 18:05
Ans is 3.

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soumya1989
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Re: Ana is a girl and has the same number of brothers as sisters [#permalink] New post   17 Apr 2016, 00:01
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Explanation:


Lets assume that Ana has x brothers and x sisters. Therefore the total number of children become 2x+1 (including Ana).

Now lets check Andrew, who has exactly the twice number of sisters as brothers. Now there are x boys and x+1 girls. So Andrew has (x-1) brothers and (x+1) sisters. According to the given information:
(x+1) = 2 (x-1)
or, x +1 = 2x -2
or, x = 3.

Therefore the total number of children are (2x+1) or 7.
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Re: Ana is a girl and has the same number of brothers as sisters [#permalink] New post   27 Jun 2021, 11:16
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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).

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Re: Ana is a girl and has the same number of brothers as sisters [#permalink]
27 Jun 2021, 11:16
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