Molly’s age is twice Anita’s. If the sum of the squares of their ages is 80, then


Translate these words into an algebraic equation to determine their ages?

let Anita's age be x yrs

then Molly is 2x years

x^2 + (2x)^2 = 80

The sum of 7 and twice Julie's height

To translate the given information into an algebraic equation, let's assign variables to represent Molly's and Anita's ages.

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.