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Norman is 12 years older than Michael. In 6 years, he will be twice as 18 Jun 2018, 06:35
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

72% (01:16) correct 28% (01:20) wrong based on 65 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
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B
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Norman is 12 years older than Michael. In 6 years, he will be twice as 18 Jun 2018, 06:38
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Bunuel
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
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Suppose,

Micheal = x
Norman = x + 12

After 6 years,

2(x+6) = x+12 + 6
2x + 12 = x + 18
x = 6.

Thus the best answer is B.
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Norman is 12 years older than Michael. In 6 years, he will be twice as 18 Jun 2018, 11:12
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Solution



Given:
    • Norman is 12 years older than Michael
    • In 6 years, Norman will be twice as old as Michael

To find:
    • The present age of Michael

Approach and Working:
If we assume the age of Michael in 6 years is M, then
    • Age of Norman in 6 years = 2M

As Norman is 12 years older than Michael, we can write
    • 2M – M = 12
    Or, M = 12

Therefore, present age of Michael = M – 6 = 12 – 6 = 6 years

Hence, the correct answer is option B.

Answer: B
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Norman is 12 years older than Michael. In 6 years, he will be twice as 18 Jun 2018, 16:42
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Bunuel
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
Show more
An alternate approach is to PLUG IN THE ANSWERS, which represent Michaels's age now.
When the correct answer is plugged in, Norman's age in 6 years will be twice Michael's age in 6 years.

B: M=6
Since Norman is 12 years older than Michael, N = 6+12 = 18.
Norman's age in 6 years = 18+6 = 24.
Michael's age in 6 years = 6+6 = 12.
Success!
Norman's age in 6 years (24) is twice Michael's age in 6 years (12).

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B
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Norman is 12 years older than Michael. In 6 years, he will be twice as 20 Jun 2018, 17:05
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Bunuel
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
Show more

Let’s let n = Norman’s current age and m = Michael’s current age. We are given that Normal is 12 years older than Michael. We can create the equation:

n = m + 12

In 6 years, Norman will be (n + 6) years old, and Michael will be (m + 6) years old. We are given that at that time, Normal will be twice Michael’s age. Thus, we have:

n + 6 =2(m + 6)

n + 6 = 2m + 12

n = 2m + 6

Substituting, we have:

m + 12 = 2m + 6

6 = m

Answer: B
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Norman is 12 years older than Michael. In 6 years, he will be twice as 05 Jan 2024, 19:57
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