GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Mar 2019, 16:36

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# How old will jack be when he retires 20 years from now, if the average

Author Message
TAGS:

### Hide Tags

Manager
Joined: 16 Jan 2018
Posts: 91
Location: New Zealand
How old will jack be when he retires 20 years from now, if the average  [#permalink]

### Show Tags

28 Jul 2018, 00:23
1
00:00

Difficulty:

35% (medium)

Question Stats:

61% (00:58) correct 39% (00:49) wrong based on 67 sessions

### HideShow timer Statistics

How old will jack be when he retires 20 years from now, if the average of his current age and the retirement age is 50?

A. 40

B. 50

C. 60

D. 55

E. 65
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3361
Location: India
GPA: 3.12
How old will jack be when he retires 20 years from now, if the average  [#permalink]

### Show Tags

28 Jul 2018, 00:28
1
blueviper wrote:
How old will jack be when he retires 20 years from now, if the average of his current age and the retirement age is 50?

A. 40

B. 50

C. 60

D. 55

E. 65

If Jack is x years old now, when he retires 20 years from now, his age will be x+20

We are given that the average of his current age and retirement age is 50
(i.e.) $$\frac{x + x + 20}{2} = 50$$ -> $$2x + 20 = 100$$ -> $$x = \frac{80}{2} = 40$$

Therefore, Jack's age during retirement is x + 20 or 60(Option C)

blueviper - The answer options in GMAT PS questions are always arranged in ascending order!
Please keep that in mind whenever you post questions from now on
_________________

You've got what it takes, but it will take everything you've got

Senior Manager
Joined: 24 Jun 2012
Posts: 378
Location: Pakistan
GPA: 3.76
How old will jack be when he retires 20 years from now, if the average  [#permalink]

### Show Tags

28 Jul 2018, 01:17
Its easy
let r be his retirement age and c his current age
R = C + 20
average is given as (C+R)/2 = 50------> C+R = 100
so we can write C +C+20 = 100
solving C = 40
R = 40+20 = 60 C is answer
_________________

Push yourself again and again. Don't give an inch until the final buzzer sounds. -Larry Bird
Success isn't something that just happens - success is learned, success is practiced and then it is shared. -Sparky Anderson
-S

Intern
Joined: 26 Jul 2018
Posts: 1
How old will jack be when he retires 20 years from now, if the average  [#permalink]

### Show Tags

17 Aug 2018, 11:09
Given: [Current Age (A) + Retirement Age (R)] / 2 = 50

So, A + R = 100

or A = 100 - R, this is our first equation.

Now, R - A = 20

or A = R - 20, this is the second equation.

So, combining both the equations, we get, 100 - R = R - 20

Which gives, 2R = 120 or R = 60.

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4403
Location: India
GPA: 3.5
Re: How old will jack be when he retires 20 years from now, if the average  [#permalink]

### Show Tags

18 Aug 2018, 08:19
blueviper wrote:
How old will jack be when he retires 20 years from now, if the average of his current age and the retirement age is 50?

A. 40

B. 50

C. 60

D. 55

E. 65

$$\frac{c + (c + 20)}{2} = 50$$

Or, $$2c + 20 = 100$$

Or, $$c = 40$$

So, His retirement age after 20 years will be 60 years, Answer must be (C)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2825
Re: How old will jack be when he retires 20 years from now, if the average  [#permalink]

### Show Tags

20 Aug 2018, 11:20
blueviper wrote:
How old will jack be when he retires 20 years from now, if the average of his current age and the retirement age is 50?

A. 40

B. 50

C. 60

D. 55

E. 65

We can let j = Jack’s current age; thus, his age at retirement will be j + 20. We can create the equation:

(j + j + 20)/2 = 50

2j + 20 = 100

2j = 80

j = 40

Jack is now 40, and so he will be 60 when he retires.

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

Re: How old will jack be when he retires 20 years from now, if the average   [#permalink] 20 Aug 2018, 11:20
Display posts from previous: Sort by

# How old will jack be when he retires 20 years from now, if the average

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.