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

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27 Apr 2012, 11:26

2

This post was BOOKMARKED

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A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

75% (03:32) correct
25% (02:35) wrong based on 200 sessions

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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 ??

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.

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

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23 Nov 2014, 23:07

Best way is backsolving:

1) take C (14y.o.), so mean that S=14, J=28, their sum itself is 42+10 years from now is 52, it is over the 51, so eliminate C,D,E 2) take B (10y.o.), meaning S=10,J=20, so 20+10+10=40 and for K=10-4/3=2+9=11, finally 40+11=51. It is correct

B

Last edited by Temurkhon on 24 Nov 2014, 01:05, edited 1 time in total.

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

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28 Nov 2015, 05:16

Hello from the GMAT Club BumpBot!

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

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28 Nov 2015, 10:51

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This post received KUDOS

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 ?

From the above table we have -

(6k+13) + (3k+9) + (k+9) = 51

10k + 31 = 51

10k = 20

So, k = 2

We know , age of Stephanie now is 3k + 4 =>3*2 + 4 =10

Hence answer is (B)

PS : For such age related problems ( including age x yrs from now) the best method is coming to present age from x years back. _________________

Thanks and Regards

Abhishek....

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

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03 Dec 2016, 04:40

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).

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