Final answer:
The problem involves finding Tamikka's age using the ratio of her age to Lisa's and the age difference. By setting up an equation from the given ratio and age difference information, we calculate Tamikka's age to be 32 years old.
Step-by-step explanation:
The question pertains to solving a problem using ratios and simple algebra to determine Tamikka's age given the age relationship to Lisa's.
We are given the ratio of Tamikka's age to Lisa's age is 4:9 and Lisa is 40 years older than Tamikka.
Let's assign variables to their ages: let T be Tamikka's age and L be Lisa's. The ratio can be expressed as T/L = 4/9, and the age difference can be expressed as L = T + 40.
By substituting L from the first equation into the second expression, we can solve for Tamikka's age.
Given L = T + 40, the equation from the ratio T/L = 4/9 can be rewritten as T/(T+40) = 4/9. To find Tamikka's age (T), we cross multiply for a resulting equation 9T = 4T + 160.
Solving for T gives us 5T = 160, which means that T (Tamikka's age) is 32 years old.