Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 15 Oct 2007
Posts: 14

To be eligible for retirement benefits at the Omega [#permalink]
Show Tags
Updated on: 26 Nov 2012, 03:29
2
This post received KUDOS
9
This post was BOOKMARKED
Question Stats:
51% (01:13) correct 49% (01:26) wrong based on 286 sessions
HideShow timer Statistics
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
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by mistahfold on 15 Oct 2007, 23:30.
Last edited by Bunuel on 26 Nov 2012, 03:29, edited 2 times in total.
OA added



Intern
Joined: 27 Sep 2007
Posts: 16

1
This post received KUDOS
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.



Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 546

Re: To be eligible for retirement benefits at the Omega [#permalink]
Show Tags
23 Jan 2012, 13:34
1
This post received KUDOS
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
_________________
Collections: PSof OG solved by GC members: http://gmatclub.com/forum/collectionpswithsolutionfromgmatclub110005.html DS of OG solved by GC members: http://gmatclub.com/forum/collectiondswithsolutionfromgmatclub110004.html 100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmatprepproblemcollections114358.html Collections of work/rate problems with solutions http://gmatclub.com/forum/collectionsofworkrateproblemwithsolutions118919.html Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixtureproblemswithbestandeasysolutionsalltogether124644.html



Intern
Joined: 19 Jun 2011
Posts: 36

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



Math Expert
Joined: 02 Sep 2009
Posts: 45497

Re: To be eligible for retirement benefits at the Omega [#permalink]
Show Tags
23 Jan 2012, 18:04
3
This post received KUDOS
Expert's post
1
This post was BOOKMARKED
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. Answer: D.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 20 Jul 2012
Posts: 147
Location: India
WE: Information Technology (Computer Software)

Re: To be eligible for retirement benefits at the Omega [#permalink]
Show Tags
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. Answer: D. 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



Math Expert
Joined: 02 Sep 2009
Posts: 45497

Re: To be eligible for retirement benefits at the Omega [#permalink]
Show Tags
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. Answer: D. 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: foranemployeetoqualifyforearlyretirementatacertain143060.htmlacertaincompanyretirementplanhasaruleof109708.htmlHope this helps.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Joined: 20 Jul 2012
Posts: 147
Location: India
WE: Information Technology (Computer Software)

Re: To be eligible for retirement benefits at the Omega [#permalink]
Show Tags
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: foranemployeetoqualifyforearlyretirementatacertain143060.htmlacertaincompanyretirementplanhasaruleof109708.htmlHope this helps. he will have y yrs of employment... got the question... thanks..



Intern
Joined: 22 Feb 2017
Posts: 16
Location: India
GPA: 3.6
WE: Engineering (Manufacturing)

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



Manager
Joined: 14 May 2015
Posts: 52

Re: To be eligible for retirement benefits at the Omega [#permalink]
Show Tags
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 answer:D



Director
Joined: 29 Jun 2017
Posts: 504
GPA: 4
WE: Engineering (Transportation)

Re: To be eligible for retirement benefits at the Omega [#permalink]
Show Tags
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
_________________
Give Kudos for correct answer and/or if you like the solution.



Senior Manager
Joined: 02 Jul 2017
Posts: 293

Re: To be eligible for retirement benefits at the Omega [#permalink]
Show Tags
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
Answer: D



Intern
Joined: 26 Jul 2014
Posts: 6

To be eligible for retirement benefits at the Omega [#permalink]
Show Tags
08 Jan 2018, 10:44
Hi Bunuel,
I am having trouble with this question. I understand that x stays for y years, x will be x+y years old and x stayed y years, hence the equation x+2y. But isnt x+2y always greater than 70?
To sum up my question, shouldn't the answer be x+2y > 70.




To be eligible for retirement benefits at the Omega
[#permalink]
08 Jan 2018, 10:44






