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Presently, Fred is 4 times as old as Gary.

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Presently, Fred is 4 times as old as Gary. [#permalink] New post 26 Jun 2018, 06:42
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Presently, Fred is 4 times as old as Gary. In 10 years, Fred will be 3 times as old as Gary. How old (in years) will Fred be in 3 years?

[Reveal] Spoiler:
83

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Re: Presently, Fred is 4 times as old as Gary. [#permalink] New post 26 Jun 2018, 10:49
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GreenlightTestPrep wrote:
Presently, Fred is 4 times as old as Gary. In 10 years, Fred will be 3 times as old as Gary. How old (in years) will Fred be in 3 years?

[Reveal] Spoiler:
83


Here ;

Present age of Fred be = F years and Gary's = G years

therefore;
F = 4G

In 10 years;

F+10 = 3(G +10)

or G = 20 years which is Gray's present age

Therefore F = 20 * 4 = 80 years which is the present age (since we know F = 4G)

In 3years Fred will be = 80 +3 = 83 years
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Re: Presently, Fred is 4 times as old as Gary. [#permalink] New post 30 Jun 2018, 06:38
Expert's post
GreenlightTestPrep wrote:
Presently, Fred is 4 times as old as Gary. In 10 years, Fred will be 3 times as old as Gary. How old (in years) will Fred be in 3 years?

[Reveal] Spoiler:
83


Let's solve the question using 2 variables
Let F = Fred's PRESENT age
Let G = Gary's PRESENT age

Presently, Fred is 4 times as old as Gary
In other words, F = 4G

In 10 years, Fred will be 3 times as old as Gary.
IN 10 YEARS, Fred's age = F + 10
IN 10 YEARS, Gary's age = G + 10
If Fred will be 3 times as old as Gary, we can write: F + 10 = 3(G + 10)
Expand: F + 10 = 3G + 30
Rearrange to get: F = 3G + 20


We now have the following system:
F = 4G
F = 3G + 20
Since both equations set equal to F, we can write: 4G = 3G + 20
When we solve this, we get G = 20

Since F = 4G, we can now say that F = 4(20) = 80
In other words, Fred's PRESENT age is 80
So, IN 3 YEARS, Fred's age will be 83

Answer: 83

Cheers,
Brent
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Re: Presently, Fred is 4 times as old as Gary. [#permalink] New post 06 Aug 2018, 21:01
While the answer is 83 and there's evidence to support it as these two *did* do the math, I couldn't help but take the extra couple of seconds double checking, since it seemed a little weird to have a large age like that. :)
Re: Presently, Fred is 4 times as old as Gary.   [#permalink] 06 Aug 2018, 21:01
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Presently, Fred is 4 times as old as Gary.

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