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Julia is twice as old as her brother Paolo, who is five times as old as their dog Winnie. In 10 years, Julia will be

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by BTGmoderatorDC » Tue Dec 20, 2022 6:28 am

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Julia is twice as old as her brother Paolo, who is five times as old as their dog Winnie. In 10 years, Julia will be four times as old as Winnie will be then. How old is Paolo?

A. 25
B. 27
C. 30
D. 33
E. 35


OA A

Source: Princeton Review
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Re: Julia is twice as old as her brother Paolo, who is five times as old as their dog Winnie. In 10 years, Julia will be

by Scott@TargetTestPrep » Wed Dec 21, 2022 11:18 am
BTGmoderatorDC wrote: ↑
Tue Dec 20, 2022 6:28 am
 Julia is twice as old as her brother Paolo, who is five times as old as their dog Winnie. In 10 years, Julia will be four times as old as Winnie will be then. How old is Paolo?

A. 25
B. 27
C. 30
D. 33
E. 35


OA A

Source: Princeton Review
Solution:

We can let J, P, and W = the current ages of Julia, Paolo, and Winnie, respectively.

J = 2P

and

P = 5W

In 10 years, Julia will be (J + 10), and Winnie will be (W + 10), and Julia will be 4 times Winnie’s age. Thus, we have:

J + 10 = 4(W + 10)

From the first two equations, we have:

J = 2(5W) = 10W

Substituting this into the third equation, we have:

10W + 10 = 4(W + 10)

10W + 10 = 4W + 40

6W = 30

W = 5

So P = 5(5) = 25.

Answer: A

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