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Jack is now 14 years older than Bill. If in 10 years Jack

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Jack is now 14 years older than Bill. If in 10 years Jack [#permalink] New post 20 Dec 2012, 04:47
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Jack is now 14 years older than Bill. If in 10 years Jack will be twice as old as Bill, how old will Jack be in 5 years?

(A) 9
(B) 19
(C) 21
(D) 23
(E) 33
[Reveal] Spoiler: OA
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Re: Jack is now 14 years older than Bill. If in 10 years Jack [#permalink] New post 20 Dec 2012, 04:50
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Walkabout wrote:
Jack is now 14 years older than Bill. If in 10 years Jack will be twice as old as Bill, how old will Jack be in 5 years?

(A) 9
(B) 19
(C) 21
(D) 23
(E) 33


Currently: J = B + 14;
In 10 year: J + 10 = 2(B + 10);

Solving gives J = 18;

Thus in 5 years Jack will be 18 + 5 = 23 years old.

Answer: D.
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Re: Jack is now 14 years older than Bill. If in 10 years Jack [#permalink] New post 10 Jan 2014, 01:57
Walkabout wrote:
Jack is now 14 years older than Bill. If in 10 years Jack will be twice as old as Bill, how old will Jack be in 5 years?

(A) 9
(B) 19
(C) 21
(D) 23
(E) 33



Set up the equations: [J = B + 14] and [J + 10 = 2(B + 10)], subtract the two and solve for B, this gives us B = 4.. From the first equation we know that Jack is 14 years older than Bill today, which means that Jack is 14 + 4 = 18 years old.. So naturally, in 5 years he's 23 years old.
Re: Jack is now 14 years older than Bill. If in 10 years Jack   [#permalink] 10 Jan 2014, 01:57
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