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Puzzle 133. AGE PROBLEM

Mrs. Brown has four children, namely, Alice, Bill, Cathy, and
Dan. Bill is currently twice the age of Dan. Two years ago,
Alice was twice the age of Cathy. Four years ago, Bill was twice the
age of Cathy. Two years from now, Alice would be twice the age of
Dan. Three years ago, Cathy was twice the age of Dan. Mrs. Brown's current age is the sum of her children's current
age.
What are the current ages of Mrs. Brown and her children
Alice, Bill, Cathy, and Dan?

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Bits and Beyond...
DESCARTES
Ranè Descartes (15961650)
was a 17th century French philosopher and mathematician. He
received his education in mathematics, classics, and law at La Flèche and
Poitiers. After a brief service in the military, he settled in
Holland where he made significant contributions to the field of Algebra,
Analytic Geometry, and Calculus. The commonly used Cartesian Coordinate
System was named after him. His work, La
géométrie, includes his contributions to algebra and geometry.

