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8 years ago, George was half as old as Sarah. Sarah is now

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Joined: 16 Mar 2012
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8 years ago, George was half as old as Sarah. Sarah is now [#permalink]

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New post 06 May 2012, 10:39
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8 years ago, George was half as old as Sarah. Sarah is now 20 years older than George. How old will George be in 10 years?

[Reveal] Spoiler:
In step one, the book assigned one Variable for both Sarah and George and wrote that
8 years ago
George G-8
Sarah G+12

I know how to solve this the long way assigning 2 variable, which is troublesome and I most of the time get it wrong. Could you explain why Sarah is G+12 ?

And could you tell me the easiest way to solve those kinds of problems

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Re: 8 years ago, George was half as old as Sarah. Sarah is now [#permalink]

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New post 06 May 2012, 10:49
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olwan wrote:
Hello guys

I just started to with the mgmat word problems and I am stuck at this word problem

8 years ago, George was half as old as Sarah. Sarah is now 20 years older than George. How old will George be in 10 years?

In step one, the book assigned one Variable for both Sarah and George and wrote that
8 years ago
George G-8
Sarah G+12

I know how to solve this the long way assigning 2 variable, which is troublesome and I most of the time get it wrong. Could you explain why Sarah is G+12 ?

And could you tell me the easiest way to solve those kinds of problems


8 years ago, George was half as old as Sarah. Sarah is now 20 years older than George. How old will George be in 10 years?

Sarah is now 20 years older than George --> S=G+20 --> Sarah 8 years ago was G+20-8=G+12 years old.

We also know that 8 years ago, George was half as old as Sarah --> (G-8)*2=G+12 --> G=28.

In 10 years George will be 28+10=38 years old.

Answer: 38.
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Re: 8 years ago, George was half as old as Sarah. Sarah is now [#permalink]

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New post 06 May 2012, 12:40
Is it possible to lend me your brain for 4 hours on the 30th of May?

Thanks you very much

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Re: 8 years ago, George was half as old as Sarah. Sarah is now [#permalink]

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New post 30 May 2012, 16:19

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Location: India
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GMAT 2: 730 Q50 V38
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WE: General Management (Transportation)
Re: 8 years ago, George was half as old as Sarah. Sarah is now [#permalink]

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New post 31 May 2012, 04:37
olwan wrote:
Is it possible to lend me your brain for 4 hours on the 30th of May?



Isnt that a wonderful thought!

But we wont be able to do that :)

Practice they say, is the key!

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Re: 8 years ago, George was half as old as Sarah. Sarah is now [#permalink]

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New post 05 Oct 2017, 08:31
olwan wrote:
8 years ago, George was half as old as Sarah. Sarah is now 20 years older than George. How old will George be in 10 years?

[Reveal] Spoiler:
In step one, the book assigned one Variable for both Sarah and George and wrote that
8 years ago
George G-8
Sarah G+12

I know how to solve this the long way assigning 2 variable, which is troublesome and I most of the time get it wrong. Could you explain why Sarah is G+12 ?

And could you tell me the easiest way to solve those kinds of problems



Answer:

8 Years ago, George age was half as old as Sarah age => G-8=S-8/2 ------ <1>
Now, Sarah is 20 years older than George => S=G+20 ------ <2>

Substitute <2> in <1> and solve for George age (G)
G=28
after 10 years
G+10=38

Thanks

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Re: 8 years ago, George was half as old as Sarah. Sarah is now   [#permalink] 05 Oct 2017, 08:31
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8 years ago, George was half as old as Sarah. Sarah is now

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