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If Mason is now twice as old as Gunther was 10 years ago, and G is

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Bunuel
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If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink] New post   19 Jun 2015, 02:21
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If Mason is now twice as old as Gunther was 10 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 4 years from now?

(A) 3G/2 + 3
(B) 3G + 28
(C) 3G – 12
(D) 8 – G
(E) 14 - 3G/2

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Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink] New post   19 Jun 2015, 02:34
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If Mason is now twice as old as Gunther was 10 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 4 years from now?

G is Gunther's current age.
Let Mason's current age be M.

given M = 2(G-10).
four years from now Mason's age will be = 2(G-10) + 4 = 2G-16
four years from now Gunther's age will be = G+4

Sum of ages of Mason and Gunther's after 4 years = 2G-16+G+4 = 3G-12

Ans : C


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Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink] New post   19 Jun 2015, 06:19
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Bunuel wrote:
If Mason is now twice as old as Gunther was 10 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 4 years from now?

(A) 3G/2 + 3
(B) 3G + 28
(C) 3G – 12
(D) 8 – G
(E) 14 - 3G/2

Kudos for a correct solution.


Plug in 15 Years for Gunters current Age. If Gunther is 15 Now, 10 Years ago he was 5 and Mason is therefore 10 Today. In 4 years both will be 14 and 19 respectively summing to 33.
Plug in G = 15 in the answer choices and see which AC results in 33.

Answer Choice C
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Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink] New post   19 Jun 2015, 06:48
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Ig Gunther's age now is G, his age 10 years ago would have been (G-10).
Mason currently is= 2(G-10)= 2G-20

Gunther 4 years from now= G+4
Mason 4 years from now= 2G-20+4
=2G-16

Sum of Mason and Gunther's age= 2G-16+G+4
= 3G-12

Option C
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Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink] New post   20 Jun 2015, 10:23
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Bunuel wrote:
If Mason is now twice as old as Gunther was 10 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 4 years from now?

(A) 3G/2 + 3
(B) 3G + 28
(C) 3G – 12
(D) 8 – G
(E) 14 - 3G/2

Kudos for a correct solution.


G's current age=G
M's current age=2*(G-10)
Four years from now, ages are
G=G+4
M=2*(G-10)+4
Sum of their ages=G+4+2G-20+4=3G-12
Answer C
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Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink] New post   24 Jun 2015, 00:56
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If Mason is now twice as old as Gunther was 10 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 4 years from now?

We want to know (M+4) + (G + 4), or M+G+8. We should write M in terms of G. Given that
M = 2 (G - 10), this expression can be written as M = 2G - 20. All that is left is to subsitute back into the original equation. (2G-20) + G + 8 = 3G - 12
(A) 3G/2 + 3
(B) 3G + 28
(C) 3G – 12
(D) 8 – G
(E) 14 - 3G/2
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Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink] New post   22 Jun 2015, 07:19
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Bunuel wrote:
If Mason is now twice as old as Gunther was 10 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 4 years from now?

(A) 3G/2 + 3
(B) 3G + 28
(C) 3G – 12
(D) 8 – G
(E) 14 - 3G/2

Kudos for a correct solution.


MANHATTAN GMAT OFFICIAL SOLUTION:

D and E can be eliminated: Gunther must be at least 10 years old, in order for him to have had a nonnegative age “10 years ago” and in order for Mason to have a non-negative age now. We can therefore eliminate D and E, as both choices will give a negative result when G > 10.

The correct answer is in fact C.
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Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink] New post   28 Dec 2017, 03:58
Bunuel wrote:
If Mason is now twice as old as Gunther was 10 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 4 years from now?

(A) 3G/2 + 3
(B) 3G + 28
(C) 3G – 12
(D) 8 – G
(E) 14 - 3G/2

Kudos for a correct solution.


M = 2 x (G-10) = 2G - 20
(M+4) + (G+4) = (2G - 20 + 4) + (G + 4) = 3G - 12
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Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink] New post   10 Apr 2019, 17:48
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Bunuel wrote:
If Mason is now twice as old as Gunther was 10 years ago, and G is Gunther's current age in years, which of the following represents the sum of Mason and Gunther's ages 4 years from now?

(A) 3G/2 + 3
(B) 3G + 28
(C) 3G – 12
(D) 8 – G
(E) 14 - 3G/2

Kudos for a correct solution.


We can create the equations:

M = 2(G - 10)

M = 2G - 20

So the sum of the ages 4 years from now is:

2G - 20 + 4 + G + 4 = 3G - 12

Answer: C
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Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink] New post   23 Dec 2023, 13:12
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