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In 10 years, Bill will be twice as old as Jeffery. Today, Bill is 4 ti
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04 Jan 2022, 07:59
04 Jan 2022, 07:59
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In 10 years, Bill will be twice as old as Jeffery. Today, Bill is 4 times as old as Jeffery. How old is Bill?
A. 12
B. 16
C. 18
D. 20
E. 24
A. 12
B. 16
C. 18
D. 20
E. 24
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Re: In 10 years, Bill will be twice as old as Jeffery. Today, Bill is 4 ti
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04 Jan 2022, 10:11
04 Jan 2022, 10:11
1
Carcass wrote:
In 10 years, Bill will be twice as old as Jeffery. Today, Bill is 4 times as old as Jeffery. How old is Bill?
A. 12
B. 16
C. 18
D. 20
E. 24
A. 12
B. 16
C. 18
D. 20
E. 24
Today, Bill is 4 times as old as Jeffery
Let J = Jeffery's PRESENT age
So, 4J = Bill's PRESENT age
In 10 years, Bill will be twice as old as Jeffery.
Since we already know each person's PRESENT age, we know the following...
J + 10 = Jeffery's age IN 10 YEARS
4J +10 = Bill's age IN 10 YEARS
If Bill is twice as old as Jeffrey in 10 years we can write: 4J + 10 = 2(J + 10)
Expand to get: 4J + 10 = 2J + 20
Solve to get: J = 5
So, Jeffery's PRESENT age is 5
Since 4J = Bill's PRESENT age, we know that Bill's PRESENT age = 4(5) = 20
Answer: D
gmatclubot
Re: In 10 years, Bill will be twice as old as Jeffery. Today, Bill is 4 ti [#permalink]
04 Jan 2022, 10:11
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