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

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Source: Magoosh

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

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

The OA is C

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BTGmoderatorLU wrote:
Thu Sep 17, 2020 10:56 am
Source: Magoosh

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

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

The OA is C
Solution:

If we let p = Pete’s current age, then 13p = Bill’s current age. We can create the equation:

13p + 9 = 4(p + 9)

13p + 9 = 4p + 36

9p = 27

p = 3

Since Pete is currently 3 years old, in 2 years, he will be 5 years old.

Answer: C

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