Katya owns two cockatoos, an older white cockatoo and a younger Galah cockatoo. At present, the sum of the cockatoos’ ages is \(44\) years. In \(n\) years, where \(n >0\), the white cockatoo’s age will be four times the Galah cockatoo’s age. If \(n\) is an integer, determine the possible present ages of each cockatoo.