To determine the age of the son when the father died, we need to consider the ages given.
If the father died at 365 years old and the son died at 969 years old, we can conclude that the son outlived the father. The question does not provide information on how old the son was at the time of his father's death.
However, if we assume that the son was born when the father was 365 years old, the son would be born right at the time the father died. In this scenario, the son would be 0 years old at that time.
Thus, without additional information, we can say that the son was 0 years old when the father died, assuming he was born at that moment.