Amanda's dad is twice as old as she is today. The sum of their ages is 66. Find the ages of Amanda and her dad.

Let amanda's age be x and her dad's age be y.

Amanda's dad is twice as old as she, therefore 2x=y

The sum of their ages is 66, therefore x+y=66

x+y=66

2x=y,

substitute.

2x+x=66

3x=66

Divide.

x=22.

plug it back in, 22+y=66, y=44.

Amanda's age is 22 and her dad's age is 44.