GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 11 Dec 2019, 23:02

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# By how many years is Jason older than Allison?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59674
By how many years is Jason older than Allison?  [#permalink]

### Show Tags

08 May 2018, 00:17
00:00

Difficulty:

25% (medium)

Question Stats:

81% (00:56) correct 19% (01:52) wrong based on 37 sessions

### HideShow timer Statistics

By how many years is Jason older than Allison?

(1) Jason is 6 years older than twice David’s age.

(2) In 8 years, Allison will be twice as old as David is now.

_________________
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3158
Re: By how many years is Jason older than Allison?  [#permalink]

### Show Tags

08 May 2018, 00:34

Solution

To find:
• By how many years Jason is older than Alison

Analysing Statement 1
• As per the information given in Statement 1, Jason is 6 years older than twice David’s age
o From this statement, we cannot find out any information about Alison’s age
• Hence, Statement 1 is not sufficient to answer

Analysing Statement 2
• As per the information given in Statement 2, Allison will be twice as old as David is now in 8 years
o From this statement, we cannot find out any information about Jason’s age
• Hence, Statement 2 is not sufficient to answer

Combining Both Statements
Combining the information from both the statements, we can say
• Jason is 6 years older than twice David’s age
• Also, Allison will be twice as old as David is now in 8 years
o If we assume the age of David as d years, then we can say Jason’s present age is (2d + 6) years
o Also, Alison’s present age = (2d – 8) years
• Therefore, the number of years by which Jason is older than Alison = (2d + 6) – (2d – 8) years = 14 years

Hence, the correct answer is Option C.

_________________
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4134
Re: By how many years is Jason older than Allison?  [#permalink]

### Show Tags

27 Nov 2019, 07:30
Top Contributor
Bunuel wrote:
By how many years is Jason older than Allison?

(1) Jason is 6 years older than twice David’s age.

(2) In 8 years, Allison will be twice as old as David is now.

Target question: By how many years is Jason older than Allison?

Statement 1: Jason is 6 years older than twice David’s age.
Since we have no information about Allison, there was no way we can answer the target question.
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: In 8 years, Allison will be twice as old as David is now.
Since we have no information about Jason, there was no way we can answer the target question.
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Let J = Jason's PRESENT age
Let D = David's PRESENT age
Let A = Allison's PRESENT age

From statement 1, we can write: J = 2D + 6
From statement 2, we can write: A + 8 = 2D

Take the top equation and replace 2D with A + 8 to get: J = (A + 8 ) + 6
Simplify: J = A + 14
This tells us that J is 14 greater than A
In other words, Jason is 14 years older than Allison

Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Re: By how many years is Jason older than Allison?   [#permalink] 27 Nov 2019, 07:30
Display posts from previous: Sort by