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# Jones has worked at Firm X twice as many years as Green, and Green has

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Math Expert
Joined: 02 Sep 2009
Posts: 61549
Jones has worked at Firm X twice as many years as Green, and Green has  [#permalink]

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26 Apr 2019, 01:58
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:34) correct 13% (01:54) wrong based on 326 sessions

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Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X ?

(1) Jones has worked at Firm X 9 years longer than Smith.
(2) Green has worked at Firm X 5 years less than Jones.

DS13602.01
OG2020 NEW QUESTION

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Re: Jones has worked at Firm X twice as many years as Green, and Green has  [#permalink]

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26 Apr 2019, 13:15
1
Bunuel wrote:
Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X ?

(1) Jones has worked at Firm X 9 years longer than Smith.
(2) Green has worked at Firm X 5 years less than Jones.

DS13602.01
OG2020 NEW QUESTION

We'll break our question down into equations, making it easier to understand.
This is a Precise approach.

We know that
jones = 2 * green
green = 4 + smith

This is 2 equations with 3 variables, so we need one more equation to solve
(1) this gives jones = 9 + smith, another (different) equations. Sufficient.
(2) this gives green = jones - 5, also another (different) equation. Sufficient.

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Re: Jones has worked at Firm X twice as many years as Green, and Green has  [#permalink]

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27 Apr 2019, 07:00
Bunuel wrote:
Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X ?

(1) Jones has worked at Firm X 9 years longer than Smith.
(2) Green has worked at Firm X 5 years less than Jones.

DS13602.01
OG2020 NEW QUESTION

given info
j=2g
g=s+4
solve for g
#1
j=9+s
9+s=2g
9+g-4=2g
g=5
sufficient
#2
g=j-5
j=g+5
g+5=2g
g= 5
IMO D
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Joined: 11 Sep 2015
Posts: 4360
Re: Jones has worked at Firm X twice as many years as Green, and Green has  [#permalink]

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10 May 2019, 08:13
Top Contributor
Bunuel wrote:
Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X ?

(1) Jones has worked at Firm X 9 years longer than Smith.
(2) Green has worked at Firm X 5 years less than Jones.

Given: Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith.
Let G = the number of years Green worked at Firm X
So, G - 4 = the number of years Smith worked at Firm X (since we're indirectly told Smith worked 4 years less than Green)
And 2G = the number of years Jones worked at Firm X (since we're told Jones has worked at Firm X twice as many years as Green)

Target question: How many years has Green worked at Firm X?
In other words, "What is the value of G?"

Statement 1: Jones has worked at Firm X 9 years longer than Smith.
In other words, (Jones' years) = (Smith's years) + 9
Replace values to get: 2G = (G - 4) + 9
Simplify: 2G = G + 5
Solve: G = 5
The answer to the target question is Green worked at Firm X for 5 years
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: Green has worked at Firm X 5 years less than Jones.
In other words, (Green's years) = (Jones' years) - 5
Replace values to get: G = (2G) - 5
Solve: G = 5
The answer to the target question is Green worked at Firm X for 5 years
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent
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Re: Jones has worked at Firm X twice as many years as Green, and Green has  [#permalink]

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10 May 2019, 15:07
Hi All,

We're told that Jones has worked at Firm X TWICE as many years as Green, and Green has worked at Firm X four years LONGER than Smith. We're asked for the number of years that Green has worked at Firm X. This question can be approached in a couple of different ways, but there's a built-in Algebra 'shortcut' that we can take advantage of. From the given information, we can create a couple of equations - and that should get you thinking about "System Math" (re: 2 variables and 2 unique equations, 3 variables and 3 unique equations, etc.).

To start, we'll use the variables J, G and S for Jones, Green and Smith, respectively. We can then create 2 equations:
J = 2G
G = S + 4

We're asked to find the value of G. Right now, we have 3 variables, but just 2 equations. If we can get one more UNIQUE equation involving some combination of these three variables, then we'll have a System of equations - and can solve for all 3 variables.

(1) Jones has worked at Firm X 9 years longer than Smith.

With the information in Fact 1, we can create the following equation:
J = S + 9
We now have a third unique equation, so we could solve for all 3 variables - including G. The shortcut is that we don't actually have to do that math; having the necessary equations to do it proves that we COULD get the one value of G that exists to answer the question.
Fact 1 is SUFFICIENT

(2) Green has worked at Firm X 5 years less than Jones.

With the information in Fact 2, we can create the following equation:
G = J - 5
Again, we have a third unique equation, so we could solve for all 3 variables - including G. The shortcut is that we don't actually have to do that math; having the necessary equations to do it proves that we COULD get the one value of G that exists to answer the question.
Fact 2 is SUFFICIENT

GMAT assassins aren't born, they're made,
Rich
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Re: Jones has worked at Firm X twice as many years as Green, and Green has  [#permalink]

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12 May 2019, 18:22
Bunuel wrote:
Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X ?

(1) Jones has worked at Firm X 9 years longer than Smith.
(2) Green has worked at Firm X 5 years less than Jones.

DS13602.01
OG2020 NEW QUESTION

We can let the number of years Jones, Green, and Smith worked = J, G, and S respectively.

Since Jones has worked at Firm X twice as many years as Green:

J = 2G

Since Green has worked at Firm X four years longer than Smith:

G = S + 4

We see that we have two unique equations, and three total variables, so if we can create one more unique equation with those variables, we can determine G.

Statement One Alone:

Jones has worked at Firm X 9 years longer than Smith.

We can create the equation:

J = 9 + S

Since we have our 3rd equation, statement one is sufficient to determine G.

Statement Two Alone:

Green has worked at Firm X 5 years less than Jones.

We can create the equation:

G = 5 + J

Since we have our 3rd equation, statement two is sufficient to determine G.

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Re: Jones has worked at Firm X twice as many years as Green, and Green has  [#permalink]

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08 Sep 2019, 05:07
The above solutions are too complicated. The question can be solved with one variable only
S=x
G=4+x
J=8+2x

I) 8+2x=x+9 –> x=1
II) 4+x=3+2x –> x=1
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Re: Jones has worked at Firm X twice as many years as Green, and Green has   [#permalink] 08 Sep 2019, 05:07
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