The sum of the ages of Lindsey and Meghan is $y,$ and Lindsey is exactly 9 years older than Meghan. Natalie is how man

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M7MBA: Moderator; Posts: 2058; Joined: Sun Oct 29, 2017 4:24 amFollowed by: 5 members; Thanked: 1 times

by M7MBA » Thu Aug 20, 2020 8:18 am

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The sum of the ages of Lindsey and Meghan is $y,$ and Lindsey is exactly 9 years older than Meghan. Natalie is how many years older than Meghan?

(1) In $y$ years, Meghan will be exactly three times as old as Natalie is now.

(2) Lindsey is exactly 6 years older than Natalie.

Answer: D

Source: Veritas Prep

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Source: Beat The GMAT — Data Sufficiency | Thu Aug 20, 2020 8:18 am

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

Re: The sum of the ages of Lindsey and Meghan is $y,$ and Lindsey is exactly 9 years older than Meghan. Natalie is how

by deloitte247 » Sun Aug 23, 2020 3:18 am

Let Lindsey's age = l and Meghan's age = m
l + m = y where l = m + 9
m + 9 + m = y and y = 2m + 9

Target question => Natalie is how many years older than Meghan?
Let Natalie's age = n; find n - m?

Statement 1 => in y years, Meghan will be exactly 3 times as old as Natalie is now
In y years => m + y = 3n
From question stem y = 2m + 9
m + 2m + 9 - 3n
3m + 9 - 3n
9 = 3n - 3m
9/3 = 3(n-m)/3
3 = n - m or n - m = 3
Since the target question can be answered with certainty, statement 1 is SUFFICIENT

Statement 2 => Lindsey is exactly 6 years older Natalie
l = n + 6 from question stem, it can be derived that l = m + 9
m + 9 = n + 6
9 - 6 = n - m
3 = n - m or n - m = 3
Since target question can be answered with certainty, statement 2 is SUFFICIENT

Each statement alone can be answered with certainty and ARE SUFFICIENT,
Answer = D

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