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Word Problems

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by swerve » Wed Jul 29, 2020 5:33 pm
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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 Jodie now?

A. 10
B. 20
C. 30
D. 40
E. 50

The OA is B

Source: Princeton Review
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Re: Word Problems

by deloitte247 » Thu Jul 30, 2020 11:22 pm
Let Rob's age now = r
Let Jodie's age now = j
r = 2j ----- eqn (1)
In 10 years time =>
r + 10 = (j + 10) + 20
r + 10 = j + 30
r = j + 20 where r = 2j
2j = j + 20
j = 20 years

Answer = option B
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Re: Word Problems

by Scott@TargetTestPrep » Sat Aug 01, 2020 6:33 am
swerve wrote: ↑
Wed Jul 29, 2020 5:33 pm
 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

The OA is B

Solution:

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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