Answer:
Let's start by using variables to represent the ages of the three people:
Let L be Liz's age.
Let D be Debbie's age.
Let F be Freya's age.
From the problem, we know that Liz's age is two-thirds of Debbie's age, so we can write:
L = (2/3)D
We also know that Debbie's age is half of Freya's age, so we can write:
D = (1/2)F
To find the ratio of Liz's age to Freya's age, we need to express Liz's age and Freya's age in terms of a common variable. Since we have an equation relating Debbie's age to Freya's age, we can use that as the common variable. From the equation D = (1/2)F, we can solve for F in terms of D:
F = 2D
Now we can substitute this expression for F into the equation for Liz's age:
L = (2/3)D = (2/3)(1/2)F = (1/3)F
So Liz's age is one-third of Freya's age. The ratio of Liz's age to Freya's age is therefore 1:3.