Question

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.

Answer 1

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

`=2+(1)/(3) x`

Let's assume Justin's age is J

so, we get

`J=2+(1)/(3) x`

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

so,

Aimee's age will be

`=2J-4`

now, we can plug J

`A=2*(2+(1)/(3) x)-4`

now, we are given

Marcella is 63 years old

so, x=63

we can plug x=63 and find A

`A=2*(2+(1)/(3) *63)-4`

`A=42`

so,

Aimee's age is 42 years

`J=2+(1)/(3) x`

now, we can plug x=63

`J=2+(1)/(3) *63`

`J=23`

so, Justin's age is 23 years