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A certain company retirement plan has a "rule of 70"

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A certain company retirement plan has a "rule of 70" [#permalink]

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A certain company retirement plan has a "rule of 70" provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1986 on her 32nd birthday first be eligible to retire under this provision?

A. 2003
B. 2004
C. 2005
D. 2006
E. 2007

[Reveal] Spoiler:
According to my sol

32+x=70
x=38

as age is also increasing with the increasing number of years we can't count the years twice 38/2=19


year of retirement will be 1986+19=2005

Any other explanation!
[Reveal] Spoiler: OA

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Last edited by Bunuel on 26 Nov 2012, 02:31, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Year of retirement [#permalink]

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New post 20 Feb 2011, 01:50
A certain company retirement plan has a "rule of 70" provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1986 on her 32nd birthday first be eligible to retire under this provision?
A. 2003
B. 2004
C. 2005
D. 2006
E. 2007

Your solution is perfect. One can also do:

She must gain at least 70 points, now she has 32 and every year gives her two more points: one for age and one for additional year of employment, so 32 + 2*(# of years) = 70 --> (# of years) = 19 --> 1986+19=2005.

Answer: C.
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Re: A certain company retirement plan has a "rule of 70" [#permalink]

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New post 25 Jun 2016, 04:11
X is the years worked

32+x+x>=70

2x>=38, so x>=19

1986+19=2005

C
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Re: A certain company retirement plan has a "rule of 70" [#permalink]

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New post 25 Jun 2016, 06:22
Temurkhon wrote:
X is the years worked

32+x+x>=70

2x>=38, so x>=19

1986+19=2005

C


or other way around is 70-32=38

so 2 score each year....>>>>>38/2=19 1986+19=2005

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Re: A certain company retirement plan has a "rule of 70" [#permalink]

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New post 25 Jun 2016, 10:05
GMATD11 wrote:
A certain company retirement plan has a "rule of 70" provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1986 on her 32nd birthday first be eligible to retire under this provision?

A. 2003
B. 2004
C. 2005
D. 2006
E. 2007


Great question!!!

There is a pattern to observe if you draw a table -

Attachment:
Capture.PNG
Capture.PNG [ 6.62 KiB | Viewed 1394 times ]


Check every year there is an increase in 2 years

We need to go from 32 to 70 ; so we need need to have 38 points....

Now since each year make 2 points increase 38 will take 38/2 =19 years from 1986 => 2005

Hence answer will be (C) 2005
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Re: A certain company retirement plan has a "rule of 70" [#permalink]

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New post 25 Jun 2016, 23:46
In 1986, her number is 0 + 32 = 32.
Each year after, she has 2 added to her number. So the number of years it will take for the number to reach 70 is (70-32)/2 = 19
The year in which this happens, of course, is 1986 + 19 = 2005.

Answer choice C.
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Re: A certain company retirement plan has a "rule of 70"   [#permalink] 25 Jun 2016, 23:46
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