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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If Mason is now twice as old as Gunther was 10 years ago, an  Question banks Downloads My Bookmarks Reviews Important topics
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Retired Moderator Joined: 07 Jun 2014
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GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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If Mason is now twice as old as Gunther was 10 years ago, an [#permalink]
Expert's post 00:00

Question Stats: 86% (01:19) correct 13% (01:38) wrong based on 30 sessions
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) $$\frac{3G}{2}+ 3$$
(B) 3G + 28
(C) 3G – 12
(D) 8 – G
(E)$$14 – \frac{3G}{2}$$
[Reveal] Spoiler: OA

_________________

Sandy
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Re: If Mason is now twice as old as Gunther was 10 years ago, an [#permalink]
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sandy 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) $$\frac{3G}{2}+ 3$$
(B) 3G + 28
(C) 3G – 12
(D) 8 – G
(E)$$14 – \frac{3G}{2}$$

Correct me if my solution is wrong.

Mason is now twice as old as Gunther was 10 years ago => M = 2(G-10) = 2G-20

To find 'sum of Mason and Gunther’s ages 4 years from now', M+4 = 2G-20+4 =>2G-16 and G in another 4 years will G+4.

Sum of both 2G-16 + G + 4 => 3G - 12.

C.
Retired Moderator Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3037 , given: 394

Re: If Mason is now twice as old as Gunther was 10 years ago, an [#permalink]
Expert's post
Explanation

The sum of Mason and Gunther’s ages 4 years from now requires adding 4 to both ages.

The question asks for the following, the sum of Mason and Gunther’s ages 4 years from now:

$$(M + 4) + (G + 4) = ?$$

$$M + G + 8 = ?$$

Since Mason is twice as old as Gunther was 10 years ago, put (G – 10) in parentheses and build the second equation from there (the parentheses are crucial):

$$M = 2(G - 10)$$

$$M = 2G - 20$$

Note that the answer choices ask for the sum of the ages 4 years from now, in terms of G, so substitute for M (the variable you substitute for is the one that drops out).

Substituting from the second equation into the first:
$$(2G - 20) + G + 8 = ?$$

3G - 12 = ?

This matches choice C.

Alternatively, you could write the second equation, M = 2(G – 10), and then come up with two values that “work” in this equation for M and G. The easiest way to do this is to make up G, which will then tell you M. For instance, set G = 12 (use any number you want, as long as it’s over 10, since the
problem strongly implies that Gunther has been alive for more than 10 years):

$$M = 2(12 - 10)$$

$$M = 4$$

If Gunther is 12, then Mason is 4. In four years, they will be 16 and 8, respectively. Add these together to get 24.

Now, plug G = 12 into each answer choice to see which yields the correct answer (for this example), 24. Only choice (C) works.
_________________

Sandy
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Try our free Online GRE Test Re: If Mason is now twice as old as Gunther was 10 years ago, an   [#permalink] 05 Jul 2018, 03:04
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