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

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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]

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28 Jul 2018, 00:23
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35% (medium)

Question Stats:

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

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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]

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28 Jul 2018, 00:28
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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
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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]

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

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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.

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Re: How old will jack be when he retires 20 years from now, if the average  [#permalink]

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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)
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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]

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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.

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