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# Today, Bill is thirteen times as old as Pete. In nine years, Bill will

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Math Expert
Joined: 02 Sep 2009
Posts: 56261
Today, Bill is thirteen times as old as Pete. In nine years, Bill will  [#permalink]

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24 Aug 2018, 01:13
00:00

Difficulty:

35% (medium)

Question Stats:

73% (01:47) correct 27% (02:00) wrong based on 48 sessions

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Today, Bill is thirteen times as old as Pete. In nine years, Bill will be four times as old as Pete. How old will Pete be 2 years from today?

A. 3
B. 4
C. 5
D. 6
E. 7

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Re: Today, Bill is thirteen times as old as Pete. In nine years, Bill will  [#permalink]

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24 Aug 2018, 01:17
1
B = 13P.

9 Years from Now, B+9 = 4(P+9)

Solving we get P = 3.

2 years from now Pete will be 3+2 = 5.

C is the answer.
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Re: Today, Bill is thirteen times as old as Pete. In nine years, Bill will  [#permalink]

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24 Aug 2018, 01:22
Bunuel wrote:
Today, Bill is thirteen times as old as Pete. In nine years, Bill will be four times as old as Pete. How old will Pete be 2 years from today?

A. 3
B. 4
C. 5
D. 6
E. 7

Let Pete's present age is x.
In Nine years Pete's age will be x+9
Bill is thirteen times as old as Pete. So, Bill's age=13x
in 9 years Bill's age will be 13x+9
To find: x+2

Given, In nine years, Bill will be four times as old as Pete
So, 4(x+9)=13x+9
Or, x=3
So, x+2=3+2=5
Ans. (C)
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Re: Today, Bill is thirteen times as old as Pete. In nine years, Bill will  [#permalink]

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24 Aug 2018, 02:30
Bunuel wrote:
Today, Bill is thirteen times as old as Pete. In nine years, Bill will be four times as old as Pete. How old will Pete be 2 years from today?

A. 3
B. 4
C. 5
D. 6
E. 7

2 scenarios here:

Present:

Pete = p

B= 13p

Future( in 9 years) :

B + 9 = 4( P + 9)

13P + 9 = 4P + 36

9P = 27

P = 3.

Question: Age of Pete after 2 Years.

Present age of Pete = 3

So, Pete will be 5 years old after 2 years.

The best answer is C.

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Re: Today, Bill is thirteen times as old as Pete. In nine years, Bill will  [#permalink]

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24 Aug 2018, 04:08
Hi,

For age-word problems, try drawing a table with rows and columns as objects(persons) and time period,

Find below the diagram for the table method to solve such questions.

You can see the answer is 5. Option C.

Table method is nothing different, it just gives a clear picture and avoid confusions when using different time periods.

hope its clear.
Attachments

GTC-Age - 24-08-18.png [ 23 KiB | Viewed 593 times ]

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Re: Today, Bill is thirteen times as old as Pete. In nine years, Bill will   [#permalink] 24 Aug 2018, 04:08
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# Today, Bill is thirteen times as old as Pete. In nine years, Bill will

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