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Justin is 2 years older than one third Marcella’s age. Aimee is four years younger than 2times Justin’s age. Define a variable and write an expression to represent Justin’s age. Then find Justine’s age and Aimee’s age if Marcella is 63 years old.

Respuesta :

Let's assume

Marcella’s age is x

now, we are given

Justin is 2 years older than one third Marcella’s age

so, Justin's age will be

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

Let's assume Justin's age is J

so, we get

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

Aimee is four years younger than 2times Justin’s age

so,

Aimee's age will be

[tex]=2J-4[/tex]

now, we can plug J

[tex]A=2*(2+\frac{1}{3} x)-4[/tex]

now, we are given

Marcella is 63 years old

so, x=63

we can plug x=63 and find A

[tex]A=2*(2+\frac{1}{3} *63)-4[/tex]

[tex]A=42[/tex]

so,

Aimee's age is 42 years

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

now, we can plug x=63

[tex]J=2+\frac{1}{3} *63[/tex]

[tex]J=23[/tex]

so, Justin's age is 23 years

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