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Norman is 12 years older than Michael. In 6 years, he will b
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14 Jun 2018, 14:09
14 Jun 2018, 14:09
Expert Reply
00:00
Question Stats:
83% (01:07) correct
16% (01:41) wrong based on 42 sessions
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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
(A) 3
(B) 6
(C) 12
(D) 18
(E) 24
Re: Norman is 12 years older than Michael. In 6 years, he will b
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05 Jul 2018, 01:38
05 Jul 2018, 01:38
Expert Reply
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!
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!
gmatclubot
Re: Norman is 12 years older than Michael. In 6 years, he will b [#permalink]
05 Jul 2018, 01:38
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