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Gabe is 5 years older than Paul
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26 Feb 2024, 02:25
26 Feb 2024, 02:25
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Question Stats:
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Gabe is 5 years older than Paul. Gabe was twice as old as Paul three years ago.
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 |
5 |
paul's current age |
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.
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Re: Gabe is 5 years older than Paul
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26 Feb 2024, 08:20
26 Feb 2024, 08:20
1
Let G = Gabe's current age and P = Paul's current age
Since Gabe is currently 5 years older than Paul, G = 5 + P
Gabe's age 3 years ago is G-3, and Paul's age 3 years ago is P-3
Since Gabe's age 3 years ago was twice as much as Paul's 3 years ago,
G-3 = 2(P-3)
G = 2P-3
Substitute G=2P-3 back into the equation G=5+P to solve for P
2P-3 = 5+P
P = 8
Paul's current age is 8, so Quantity B is larger.
Since Gabe is currently 5 years older than Paul, G = 5 + P
Gabe's age 3 years ago is G-3, and Paul's age 3 years ago is P-3
Since Gabe's age 3 years ago was twice as much as Paul's 3 years ago,
G-3 = 2(P-3)
G = 2P-3
Substitute G=2P-3 back into the equation G=5+P to solve for P
2P-3 = 5+P
P = 8
Paul's current age is 8, so Quantity B is larger.
gmatclubot
Re: Gabe is 5 years older than Paul [#permalink]
26 Feb 2024, 08:20
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