Question

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

Answer 1

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

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

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

=
`(63)/(3)` + 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.