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

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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


OA C

Source: Magoosh

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BTGmoderatorDC wrote:
Mon Oct 24, 2022 10:15 pm
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


OA C

Source: Magoosh
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