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# If 3 years ago Jennifer was 22 years old, how old is Carmen now?

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Math Expert
Joined: 02 Sep 2009
Posts: 52342
If 3 years ago Jennifer was 22 years old, how old is Carmen now?  [#permalink]

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20 Mar 2016, 22:42
00:00

Difficulty:

5% (low)

Question Stats:

92% (01:08) correct 8% (01:36) wrong based on 210 sessions

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If 3 years ago Jennifer was 22 years old, how old is Carmen now?

(1) 10 years ago, Carmen was twice as old as Jennifer.

(2) 10 years from today, Carmen will be 15 years older than Jennifer.

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Re: If 3 years ago Jennifer was 22 years old, how old is Carmen now?  [#permalink]

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21 Mar 2016, 05:05
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1
Current age of J = 25; C = ?

St1: C - 10 = 2(J - 10) --> C = 30 + 10 = 40. Sufficient

St2: C + 10 = J + 10 + 15 --> C = 50 - 10 = 40. Sufficient

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Re: If 3 years ago Jennifer was 22 years old, how old is Carmen now?  [#permalink]

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14 Nov 2017, 08:50
1
Let say, J-3=22 => J=25
1) 2J = C & 2J+10=C+10 , Substituting we can get the value of J & C, SUFFICIENT
2) J+10-15=C , Substituting we can get the value of J&C, SUFFICENT
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Re: If 3 years ago Jennifer was 22 years old, how old is Carmen now?  [#permalink]

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02 Aug 2018, 06:08
Top Contributor
Bunuel wrote:
If 3 years ago Jennifer was 22 years old, how old is Carmen now?

(1) 10 years ago, Carmen was twice as old as Jennifer.

(2) 10 years from today, Carmen will be 15 years older than Jennifer.

Target question: How old is Carmen now?

Given: 3 years ago Jennifer was 22 years old
So, Jennifer's PRESENT age is 25

Statement 1: 10 years ago, Carmen was twice as old as Jennifer.
If Jennifer's PRESENT age is 25, then Jennifer's age 10 YEARS AGO was 15
This means Carmen's age 10 YEARS AGO was 30, which means Carmen's PRESENT AGE is 40
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 10 years from today, Carmen will be 15 years older than Jennifer.
This just tells us that Carmen is 15 years older than Jennifer
If Jennifer's PRESENT age is 25, then Carmen's PRESENT AGE is 40
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Cheers,
Brent
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Re: If 3 years ago Jennifer was 22 years old, how old is Carmen now? &nbs [#permalink] 02 Aug 2018, 06:08
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