Gabriella is x years old.Her sister Felicia,is six years old than she is.Their mother is twice as old as Felicia.Their aunt,Tanya,is x years older than their mother.Write and simplify an expression that represents Tanya's age in years.
Gab --- x
Fel --- x+6
Mom --- 2(x+6) = 2x + 12
aunt --- (2x+12) + 6 = 2x + 18
To find an expression that represents Tanya's age in years, we need to break down the information given.
Given:
- Gabriella is x years old.
- Felicia is six years older than Gabriella, so Felicia's age can be represented as (x + 6).
- Their mother is twice as old as Felicia, so their mother's age can be represented as 2 * (x + 6).
Lastly, we are told that Tanya is x years older than their mother. So we can represent Tanya's age as:
Tanya's age = 2 * (x + 6) + x.
To simplify this expression, we can distribute the 2 inside the parentheses:
Tanya's age = 2x + 12 + x.
Combining like terms, we get:
Tanya's age = 3x + 12.
Therefore, the expression that represents Tanya's age in years is 3x + 12.