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Brent is 18 years younger than Justin. If in 5 years Brent will be hal
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13 Apr 2021, 05:59
13 Apr 2021, 05:59
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Question Stats:
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Brent is 18 years younger than Justin. If in 5 years Brent will be half as old as Justin, how old was Justin 5 years ago?
A. 8
B. 18
C. 21
D. 26
E. 31
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 8
B. 18
C. 21
D. 26
E. 31
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Brent is 18 years younger than Justin. If in 5 years Brent will be hal
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13 Apr 2021, 06:19
13 Apr 2021, 06:19
Carcass wrote:
Brent is 18 years younger than Justin. If in 5 years Brent will be half as old as Justin, how old was Justin 5 years ago?
A. 8
B. 18
C. 21
D. 26
E. 31
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 8
B. 18
C. 21
D. 26
E. 31
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Brent is 18 years younger than Justin.
Let J = Justin's PRESET AGE
So, J-18 = Brent's PRESENT age
In 5 years, both people will be 5 years older
So, J + 5 = Justin's AGE IN 5 YEARS
And (J-18) + 5 = Brent's AGE IN 5 YEARS
Simplify to get: J - 13 = Brent's AGE IN 5 YEARS
In 5 years Brent will be half as old as Justin.
In other words, IN 5 YEARS 5 years, (Brent's age) = (1/2)(Justin's age)
We can write: J - 13 = (1/2)(J + 5)
Multiply both sides by 2 to get: 2J - 26 = J + 5
Solve to get: J = 31
So, Justin's PRESENT age = 31
How old was Justin 5 years ago?
Justin's age 5 years ago = 31 - 5 = 26
Answer: D
gmatclubot
Brent is 18 years younger than Justin. If in 5 years Brent will be hal [#permalink]
13 Apr 2021, 06:19
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