Rob is twice as old as Jodie is now. In 10 years, Rob will be 20 years older than Jodie is at that time. How old is Jodie now?
A. 10
B. 20
C. 30
D. 40
E. 50
Answer: B
Source: Princeton Review
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Rob is twice as old as Jodie is now. In 10 years, Rob will be 20 years older than Jodie is at that time. How old is Jodi
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Gmat_mission
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Rob(R) is twice as old as Jodie(J) is nowGmat_mission wrote: ↑Sun Oct 25, 2020 11:38 amRob is twice as old as Jodie is now. In 10 years, Rob will be 20 years older than Jodie is at that time. How old is Jodie now?
A. 10
B. 20
C. 30
D. 40
E. 50
Answer: B
Source: Princeton Review
R = 2J
In 10 years, Rob will be 20 years older than Jodie is at that time
R + 10 = (J+10) + 20
2J + 10 = (J+10) + 20
J = 20
So, R = 40
Option D is the answer.
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Solution:Gmat_mission wrote: ↑Sun Oct 25, 2020 11:38 amRob is twice as old as Jodie is now. In 10 years, Rob will be 20 years older than Jodie is at that time. How old is Jodie now?
A. 10
B. 20
C. 30
D. 40
E. 50
Answer: B
We can let R = Rob’s current age and J = Jodie’s current age and create the equation:
R = 2J
If Rob will be 20 years older than Jodie in 10 years, he must also be 20 years older than she is presently. Thus, we have:
R = J + 20
Substituting, we have:
2J = J + 20
J = 20
Answer: B
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