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# To be eligible for retirement benefits at the Omega

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To be eligible for retirement benefits at the Omega [#permalink]

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15 Oct 2007, 23:30
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65% (hard)

Question Stats:

48% (01:16) correct 52% (01:23) wrong based on 271 sessions

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To be eligible for retirement benefits at the Omega Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 70. If x, where x <70, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?

A. xy = 70
B. x + y = 70
C. 2x + y = 70
D. x + 2y = 70
E. 2x + 2y = 70
[Reveal] Spoiler: OA

Last edited by Bunuel on 26 Nov 2012, 03:29, edited 2 times in total.

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16 Oct 2007, 02:56
i agree that B is the answer. However, the listed answer is D. I am trying to figure out why. Thanks!

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16 Oct 2007, 08:40
Its is x+2y because age increases as long he is employed...if I am employed for 20years my age also increased by 20 years

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16 Oct 2007, 10:22
in task they are talking about present age, but x is defined as age when hired. You have to add y to x to receive the present age and once more to add y to receive 70.
So that's D.

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Re: To be eligible for retirement benefits at the Omega [#permalink]

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23 Jan 2012, 13:34
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Employee's age + years of employment = 70
At the joining his age was y years and he did job y years. So, the employee's current age = y+y = 2y
(employee's age when hired + years of employment) + years of employment = 70
(x + y ) + y =70
x + 2y =70
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Re: To be eligible for retirement benefits at the Omega [#permalink]

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23 Jan 2012, 15:05
What is the OA? I think its B. I tried plugging in #'s real quickly to see if it could be the other eqns but did not get it. I tried to keep my time below 2 mins

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Re: To be eligible for retirement benefits at the Omega [#permalink]

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23 Jan 2012, 18:04
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AzWildcat1 wrote:
What is the OA? I think its B. I tried plugging in #'s real quickly to see if it could be the other eqns but did not get it. I tried to keep my time below 2 mins

OA is D.

To be eligible for retirement benefits at the Omega Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 70. If x, where x <70, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?
A. xy = 70
B. x + y = 70
C. 2x + y = 70
D. x + 2y = 70
E. 2x + 2y = 70

To be eligible for benefits {age}+{employment years} must be at least 70;

We are told that when a certain employee was hired he was x years old and that the he needed minimum y years to be eligible for benefits.

Now, after y years of employment, when the employee will be be eligible for benefits, the employee will be x+y years old and will have y years of employment, thus {age after y years}+{employment years}=(x+y)+y=x+2y=70.

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Re: To be eligible for retirement benefits at the Omega [#permalink]

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24 May 2013, 04:42
Bumping for review and further discussion.
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Re: To be eligible for retirement benefits at the Omega [#permalink]

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14 Oct 2013, 10:33
Bunuel wrote:
AzWildcat1 wrote:
What is the OA? I think its B. I tried plugging in #'s real quickly to see if it could be the other eqns but did not get it. I tried to keep my time below 2 mins

OA is D.

To be eligible for retirement benefits at the Omega Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 70. If x, where x <70, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?
A. xy = 70
B. x + y = 70
C. 2x + y = 70
D. x + 2y = 70
E. 2x + 2y = 70

To be eligible for benefits {age}+{employment years} must be at least 70;

We are told that when a certain employee was hired he was x years old and that the he needed minimum y years to be eligible for benefits.

Now, after y years of employment, when the employee will be be eligible for benefits, the employee will be x+y years old and will have y years of employment, thus {age after y years}+{employment years}=(x+y)+y=x+2y=70.

Hi Bunuel.. I couldn't understand that after having y years of experience how is the person left with y employment years only..If we take numerical values how can both the 'y' be same? Guess i din't understand the question well..Can you please explain it a bit more

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Re: To be eligible for retirement benefits at the Omega [#permalink]

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17 Oct 2013, 03:42
akankshasoneja wrote:
Bunuel wrote:
AzWildcat1 wrote:
What is the OA? I think its B. I tried plugging in #'s real quickly to see if it could be the other eqns but did not get it. I tried to keep my time below 2 mins

OA is D.

To be eligible for retirement benefits at the Omega Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 70. If x, where x <70, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?
A. xy = 70
B. x + y = 70
C. 2x + y = 70
D. x + 2y = 70
E. 2x + 2y = 70

To be eligible for benefits {age}+{employment years} must be at least 70;

We are told that when a certain employee was hired he was x years old and that the he needed minimum y years to be eligible for benefits.

Now, after y years of employment, when the employee will be be eligible for benefits, the employee will be x+y years old and will have y years of employment, thus {age after y years}+{employment years}=(x+y)+y=x+2y=70.

Hi Bunuel.. I couldn't understand that after having y years of experience how is the person left with y employment years only..If we take numerical values how can both the 'y' be same? Guess i din't understand the question well..Can you please explain it a bit more

Let me ask you a question: if a person was hired y years ago, how many years of employment does he have NOW?

Similar questions to practice:
for-an-employee-to-qualify-for-early-retirement-at-a-certain-143060.html
a-certain-company-retirement-plan-has-a-rule-of-109708.html

Hope this helps.
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Re: To be eligible for retirement benefits at the Omega [#permalink]

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21 Oct 2013, 10:40
Bunuel wrote:

Let me ask you a question: if a person was hired y years ago, how many years of employment does he have NOW?

Similar questions to practice:
for-an-employee-to-qualify-for-early-retirement-at-a-certain-143060.html
a-certain-company-retirement-plan-has-a-rule-of-109708.html

Hope this helps.

he will have y yrs of employment... got the question... thanks..

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Re: To be eligible for retirement benefits at the Omega [#permalink]

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17 Sep 2016, 05:36
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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Re: To be eligible for retirement benefits at the Omega [#permalink]

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28 Apr 2017, 07:16
mistahfold wrote:
To be eligible for retirement benefits at the Omega Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 70. If x, where x <70, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between x and y?

A. xy = 70
B. x + y = 70
C. 2x + y = 70
D. x + 2y = 70
E. 2x + 2y = 70

D is the answer.. x is the age when employee was hired & y is no. of minimum years he must serve to get the benefits...so, present age of the employee=x+y...now, according to the the question the eligibility criteria to get benefits is sum of present age & years of service ,i.e, (x+y)+y =>x+2y... hope it helps

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Re: To be eligible for retirement benefits at the Omega [#permalink]

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03 May 2017, 15:37
x=age when he started work
y=work experience
employee present age+ work experience=70
(x+y)+y=70
x+2y=70

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Re: To be eligible for retirement benefits at the Omega [#permalink]

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04 Sep 2017, 08:57
Ans is D:

current age $$= x$$
age at retirement = current age + number of years worked $$= x+ y$$
for benefit employer age + number of year worked $$>= 70$$
which implies , $$x+y + y >= 70$$
therefore $$x+2y >=70$$
Hence Option D
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Re: To be eligible for retirement benefits at the Omega [#permalink]

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04 Sep 2017, 09:34
Given age at time of employment = x
person need to have y years of experience to gain benefit.

Now->
at age x time of employment exp = 0 years

at age x -> exp =0
at age x+1 -> exp =1
at age x+2 -> exp =2
|
so on
|
at age x+y -> exp =y

As minimum exp required for benefit is y..... that time employee age becomes x+y

Now given age of employee +experience years = 70
(x+y) + y = 70
x+2y = 70

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Re: To be eligible for retirement benefits at the Omega   [#permalink] 04 Sep 2017, 09:34
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