Martina is currently 12 years older than her cousin Joey. In 4 years she will be 3 times as old as Joey. Use this information to answer the following questions. Step 1 out of 6:
Analyze Information
The goal is to find Martina's age and Joey's age.
Formulate a Plan
Use an equation to find Martina's age and Joey's age.
Solve
Write the equation 3(x + 4) = x + , where x is Joey's age.

Joey is 2 years old now and Martina is 16 years old now.

Explanation:

You are comparing the ages of two people and at two different periods of time - the present and in 5 years time.

Let the present age of the younger cousin (Joey) be

x

years.

Martina is 14 years older now. Her age is

(

x

+

14

)

years

In 5 years time , they will both be 5 years older than they are now:

Joey will be

x

+

5

  and  

Martina will be

(

x

+

14

)

+

5

=

x

+

19

Joey's age, times 3, will be equal to Martina's age

3

×

(

x

+

5

)

=

x

+

19

←

solve the equation

3

x

+

15

=

x

+

19

2

x

=

19

−

15

2

x

=

4

x

=

2

←

Joey is 2 years old now

Check: Joey is 2 and Martina is 2+14 = 16

In 5 years time: Joey will be 7 and Martina will be 21.

3

×

7

=

21

step-by-step explanation:

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