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# Norman is 12 years older than Michael. In 6 years, he will b

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Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Norman is 12 years older than Michael. In 6 years, he will b [#permalink]  14 Jun 2018, 14:09
Expert's post
00:00

Question Stats:

80% (00:23) correct 20% (01:00) wrong based on 5 sessions
Norman is 12 years older than Michael. In 6 years, he will be twice as old as Michael. How old is Michael now?

(A) 3
(B) 6
(C) 12
(D) 18
(E) 24
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1899 [0], given: 397

Re: Norman is 12 years older than Michael. In 6 years, he will b [#permalink]  05 Jul 2018, 01:38
Expert's post
Explanation

Let N = Norman’s age now; (N + 6) = Norman’s age in 6 years.

Let M = Michael’s age now; (M + 6) = Michael’s age in 6 years.

Translate the first two sentences into equations. Note that the second equation deals with Norman and Michael’s ages in 6 years:

$$N = M + 12$$

$$(N + 6) = 2(M + 6)$$

The question asks for M, so substitute (M + 12) for N in the second equation:

$$(M + 12) + 6 = 2(M + 6)$$

$$M + 18 = 2M + 12$$

$$M + 6 = 2M$$

$$6 = M$$

Hence option B is correct!
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Sandy
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Re: Norman is 12 years older than Michael. In 6 years, he will b   [#permalink] 05 Jul 2018, 01:38
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