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In 12 years, Murray will be 4 times as old as he is now. The number of years until Murray is 8 times as old as he is now

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by BTGModeratorVI » Wed Oct 07, 2020 7:21 am

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In 12 years, Murray will be 4 times as old as he is now. The number of years until Murray is 8 times as old as he is now?

A. 16
B. 20
C. 28
D. 32
E. 44

Answer: C
Source: Magoosh
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Source: — Problem Solving |

BTGModeratorVI wrote:
Wed Oct 07, 2020 7:21 am
In 12 years, Murray will be 4 times as old as he is now. The number of years until Murray is 8 times as old as he is now?

A. 16
B. 20
C. 28
D. 32
E. 44

Answer: C
Source: Magoosh
Let x = Murray's PRESENT age

In 12 years, Murray will be 4 times as old as he is now
In 12 years, Murray's age = x + 12
So we can write: x + 12 = 4x
Solve to get: x = 4
So Murray is presently 4 years old

The number of years until Murray is 8 times as old as he is now?
(8)(4) = 32
So the question is really asking us,"How many years will it take until Murray is 32 years old?"

32 - 4 = 28

Answer: C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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BTGModeratorVI wrote:
Wed Oct 07, 2020 7:21 am
In 12 years, Murray will be 4 times as old as he is now. The number of years until Murray is 8 times as old as he is now?

A. 16
B. 20
C. 28
D. 32
E. 44

Answer: C
Solution:

If we let Murray’s current age = M, we can create the equations:

M + 12 = 4M

12 = 3M

4 = M

Murray is 4 years old now.

Now, let K = the number of years until Murray will be 8 times as old as he is currently; we can create the equation:

(4 + K) = 8(4)

4 + K = 32

K = 28

Answer: C

Scott Woodbury-Stewart
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