Jim is twice as old as Stephanie, who, four years ago, was

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Jim is twice as old as Stephanie, who, four years ago, was [#permalink]

27 Apr 2012, 11:26

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Jim is twice as old as Stephanie, who, four years ago, was three times as old as Kate. If, five years from now, the sum of their ages will be 51, how old is Stephanie ?

A. 6
B. 10
C. 14
D. 20
E. 24

I need an help to translate words into math.

So. J= 2 S

S-4=3 (k-4)

S+5........here is the part that I do not catch. Some one can suggest me something in the right direction ??

thanks

[Reveal] Spoiler: OA

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Re: Jim is twice as old as Stephanie, who, four years ago, was [#permalink]

27 Apr 2012, 11:37

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carcass wrote:

Jim is twice as old as Stephanie --> J=2S;

Stephanie four years ago, was three times as old as Kate --> S-4=3(K-4) --> K=(S+8)/3 (it would be better if it were "Stephanie four years ago, was three times as old as Kate was four years ago");

Five years from now, the sum of their ages will be 51 --> (J+5)+(S+5)+(K+5)=51 --> (2S+5)+(S+5)+((S+8)/3+5)=51 --> S=10.

Answer: B.
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SVP

Joined: 01 Sep 2010

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Kudos [?]: 567 [0], given: 467

Re: Jim is twice as old as Stephanie, who, four years ago, was [#permalink]

27 Apr 2012, 17:14

Was quite evident (not for me at the moment) that we solved for S and search for J and K (the other two variables).....and the rest is clear

Thanks Mod. You are a landmark
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Re: Jim is twice as old as Stephanie, who, four years ago, was [#permalink]

27 Apr 2012, 18:39

carcass wrote:

Was quite evident (not for me at the moment) that we solved for S and search for J and K (the other two variables).....and the rest is clear

Thanks Mod. You are a landmark

Are you serious

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Re: Jim is twice as old as Stephanie, who, four years ago, was [#permalink]

28 Apr 2012, 08:43

what do you mean ??'
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Re: Jim is twice as old as Stephanie, who, four years ago, was [#permalink] 28 Apr 2012, 08:43

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Jim is twice as old as Stephanie, who, four years ago, was

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Jim is twice as old as Stephanie, who, four years ago, was

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