Answered

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Justin is 2years older than one third Marcellas age. Aimee is four years younger than 2 times Justin's age. Define a variable and write an expression to represent Justina age. Than find Justina age and aimees age if Marcella is 63 years old

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Answer:

Justin is 23 years old, and Aimee is 42 years old.

Step-by-step explanation:

Let Marcella's age be represented by x, and Justin's age by t.

Given that Justin is 2 years older than one third Marcella's age.

t = [tex]\frac{1}{3}[/tex] x + 2

t = [tex]\frac{x}{3}[/tex] + 2 ........... 1

Also, Aimee is four years younger than 2 times Justin's age.

Aimee = 2 x t - 4

Aimee = 2t - 4 .......... 2

But, Marcella's age is 63 years, so that from equation 1;

Justin's age =  [tex]\frac{x}{3}[/tex] + 2

                    = [tex]\frac{63}{3}[/tex] + 2

                    = 21 + 2

                    = 23

Justin is 23 years.

From equation 2,

Aimee = 2 x 23 - 4

           = 46 - 4

           = 42

Aimee is 42 years.

Therefore,

Marcella is 63 years old, Justin is 23 years old, and Aimee is 42 years old.

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