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By how many years is Jason older than Allison?

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By how many years is Jason older than Allison?  [#permalink]

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New post 08 May 2018, 00:17
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

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

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Re: By how many years is Jason older than Allison?  [#permalink]

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New post 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.

Answer: C
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Re: By how many years is Jason older than Allison?  [#permalink]

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New post 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

Answer: C

Cheers,
Brent
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Re: By how many years is Jason older than Allison?   [#permalink] 27 Nov 2019, 07:30
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