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

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ktrout2020: Senior | Next Rank: 100 Posts; Posts: 41; Joined: Wed Oct 30, 2019 1:10 pm

by ktrout2020 » Sun Nov 03, 2019 10:50 am

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.

Source: Manhattan Prep

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Source: Beat The GMAT — Data Sufficiency | Sun Nov 03, 2019 10:50 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Tue Nov 05, 2019 6:07 am

ktrout2020 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.

Source: Manhattan Prep

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

Answer: D

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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swerve: Legendary Member; Posts: 2539; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Tue Nov 05, 2019 2:49 pm

ktrout2020 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.

Source: Manhattan Prep

Current age of $J = 25; C =$?

Statement 1: $C - 10 = 2(J - 10) \Rightarrow C = 30 + 10 = 40$. Sufficient $\Large{\color{green}\checkmark}$

Statement 2: $ C + 10 = J + 10 + 15 \Rightarrow C = 50 - 10 = 40$. Sufficient $\Large{\color{green}\checkmark}$

Therefore, __D__

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