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Jim is twice as old as Stephanie, who, four years ago, was [#permalink]
27 Apr 2012, 10:26

Expert's post

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Difficulty:

25% (low)

Question Stats:

78% (03:30) correct
22% (02:13) wrong based on 50 sessions

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 ??

Re: Jim is twice as old as Stephanie, who, four years ago, was [#permalink]
27 Apr 2012, 10:37

1

This post received KUDOS

Expert's post

carcass wrote:

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

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.