To be eligible for retirement benefits at the Omega

Question

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

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

Bunuel · Accepted Answer

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 .

Answer: D.

Djames · Answer

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.

MHIKER · Answer

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

AzWildcat1 · Answer

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

aks456 · Answer

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

Bunuel · Answer

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.

aks456 · Answer

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

debtanuB · Answer

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

ishaan.wares · Answer

x=age when he started work
y=work experience
employee present age+ work experience=70
(x+y)+y=70
x+2y=70
answer:D

sahilvijay · Answer

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

Nikkb · Answer

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

Answer: D

unraveled · Answer

Took a while to solve but the trick is about the age of the employee when he/she would be eligible for retirement benefits with an assumption that the employee remains with the organization.
1. At the time of hiring: 
Years of employment = 0
Age of employee = x

2. At the time of becoming eligible for benefits
Years of employment = y
Age of employee = x + y

Eligibility-wise, x + y + y >= 70
x + 2y >=70

Answer D.

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To be eligible for retirement benefits at the Omega

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