You're once again on the island of Knights, Knaves, and Liars. You meet 6 natives who are all different ages between 20 and 50. They make the following statements to you:

Andy says:

Brad is a Liar.
Fred is a Liar.
I'm one year older than Brad.
I'm three years older than Chet.
The sum of our ages is divisible by 3.

Brad says:

Chet is a Liar.
Andy is a Liar.
I'm one year older than Chet.
I'm three years older than Doug.
My age is divisible by 5.

Chet says:

Doug is a Liar.
Brad is a Liar.
I'm one year older than Doug.
I'm three years older than Eddy.
My age is divisible by 2.

Doug says:

Eddy is a Liar.
Chet is a Liar.
I'm one year older than Eddy.
I'm three years older than Fred.
I'm the oldest.

Eddy says:

Fred is a Liar.
Doug is a Liar.
I'm one year older than Fred.
I'm three years older than Andy.
The sum of our ages is divisible by 11.

Fred says:

Andy is a Liar.
Eddy is a Liar.
I'm one year older than Andy.
I'm three years older than Brad.
The sum of our ages is a perfect square.

Figure out the ages of the six natives.