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let Anita's age be x yrs
then Molly is 2x years
x^2 + (2x)^2 = 80
Translate these words into an algebraic equation to determine their ages?
then Molly is 2x years
x^2 + (2x)^2 = 80
Let's say Molly's age is represented by 'M', and Anita's age is represented by 'A'.
Given that Molly's age is twice Anita's, we can write this relationship as:
M = 2A
Next, we're told that the sum of the squares of their ages is 80. The sum of the squares of their ages can be represented as:
M^2 + A^2 = 80
Now we have two equations:
M = 2A (Equation 1)
M^2 + A^2 = 80 (Equation 2)
These algebraic equations can be used to determine their ages by solving the system of equations.