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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?

Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink]

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19 Jun 2015, 01:34

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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

-Manoj Reddy Please Press +1 Kudos if you appreciate the post

Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink]

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19 Jun 2015, 05:19

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?

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]

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20 Jun 2015, 09:23

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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?

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?

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. _________________

Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink]

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23 Jun 2015, 23:56

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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

Re: If Mason is now twice as old as Gunther was 10 years ago, and G is [#permalink]

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28 Dec 2017, 02:58

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?