mary lou is twice geoge's and kate is two years younger than george the sum of all of their ages is 46 how old is everyone

George is 12, Mary Lou is 24 and Kate is 10.

Step-by-step explanation:

To find these, start by setting George's age as x. This means that we can model Mary Lou's age as 2x, since she is twice as old. We can also model Kate's age as x - 2 since she is two years younger. Now we can add these 3 together and set equal to 46

x + 2x + x - 2 = 46

4x - 2 = 46

4x = 48

x = 12

This means that George is 12.

Mary Lou = 2x

Mary Lou = 2 (12)

Mary Lou = 24

Kate = x - 2

Kate = 12 - 2

Kate = 10

G 12 Mary L 24 and kate is 10