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# Janet is now 25 years younger than her mother Carol. If in 6 years Jan

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Math Expert
Joined: 02 Sep 2009
Posts: 43312

Kudos [?]: 139334 [0], given: 12783

Janet is now 25 years younger than her mother Carol. If in 6 years Jan [#permalink]

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03 Nov 2014, 07:22
00:00

Difficulty:

5% (low)

Question Stats:

85% (01:06) correct 15% (01:26) wrong based on 144 sessions

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Tough and Tricky questions: Word Problems.

Janet is now 25 years younger than her mother Carol. If in 6 years Janet's age will be half Carol’s age, how old was Janet 5 years ago?

A. 10
B. 14
C. 16
D. 19
E. 25
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139334 [0], given: 12783

Math Expert
Joined: 02 Sep 2009
Posts: 43312

Kudos [?]: 139334 [0], given: 12783

Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan [#permalink]

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03 Nov 2014, 07:23
Bunuel wrote:

Tough and Tricky questions: Word Problems.

Janet is now 25 years younger than her mother Carol. If in 6 years Janet's age will be half Carol’s age, how old was Janet 5 years ago?

A. 10
B. 14
C. 16
D. 19
E. 25

Check other Age Problems HERE.
_________________

Kudos [?]: 139334 [0], given: 12783

Intern
Joined: 12 May 2013
Posts: 27

Kudos [?]: 56 [1], given: 16

Concentration: Finance, Economics
GMAT 1: 700 Q49 V36
Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan [#permalink]

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03 Nov 2014, 14:42
1
KUDOS
Bunuel wrote:

Tough and Tricky questions: Word Problems.

Janet is now 25 years younger than her mother Carol. If in 6 years Janet's age will be half Carol’s age, how old was Janet 5 years ago?

A. 10
B. 14
C. 16
D. 19
E. 25

J = current age of Janet
C = current age of Carol

$$J +25 = C$$

$$(J+6)*2 = C + 6$$ ---> $$C = 2*J + 6$$ , insert in first equation

$$J + 25 = 2*J + 6$$

$$J = 19$$

$$J - 5 = 14$$

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Kudos [?]: 56 [1], given: 16

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Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1844

Kudos [?]: 2859 [1], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan [#permalink]

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03 Nov 2014, 19:50
1
KUDOS
Bunuel wrote:

Tough and Tricky questions: Word Problems.

Janet is now 25 years younger than her mother Carol. If in 6 years Janet's age will be half Carol’s age, how old was Janet 5 years ago?

A. 10
B. 14
C. 16
D. 19
E. 25

Janet ................................... Carol

x .......................................... x+25 (Current Age)

x+6 ...................................... x+31 (After 6 yrs)

Given that $$\frac{1}{2} (x+31) = x+6$$

x = 19 = Current age of Janet

5 yrs ago Janet's age = 19-5 = 14

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Kudos [?]: 2859 [1], given: 193

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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan [#permalink]

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22 Dec 2017, 06:46
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Janet is now 25 years younger than her mother Carol. If in 6 years Jan   [#permalink] 22 Dec 2017, 06:46
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