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Ten years ago, Brian was twice as old as Aubrey.
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23 Feb 2023, 06:12
23 Feb 2023, 06:12
Expert Reply
00:00
Question Stats:
80% (01:16) correct
20% (00:43) wrong based on 15 sessions
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Ten years ago, Brian was twice as old as Aubrey.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Twice Aubrey’s age today |
Brian’s age today |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: Ten years ago, Brian was twice as old as Aubrey.
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19 Mar 2023, 01:20
19 Mar 2023, 01:20
Expert Reply
OE
Let A and B denote Aubrey and Brian’s ages today. Then, their ages 10 years ago would be given by A − 10 and B − 10, respectively. Those ages are related by the problem statement as:
B − 10 = 2(A − 10)
Expanding and simplifying yields:
B-10=2A-20
B=2A-10
Rewrite the quantities in terms of A and B. Twice Aubrey’s age today is 2A and Brian’s age today is B.
So QA is 2A
QB is B
According to the equation, B is 10 less than 2A. Therefore, Quantity A is greater.
Let A and B denote Aubrey and Brian’s ages today. Then, their ages 10 years ago would be given by A − 10 and B − 10, respectively. Those ages are related by the problem statement as:
B − 10 = 2(A − 10)
Expanding and simplifying yields:
B-10=2A-20
B=2A-10
Rewrite the quantities in terms of A and B. Twice Aubrey’s age today is 2A and Brian’s age today is B.
So QA is 2A
QB is B
According to the equation, B is 10 less than 2A. Therefore, Quantity A is greater.
gmatclubot
Re: Ten years ago, Brian was twice as old as Aubrey. [#permalink]
19 Mar 2023, 01:20
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