Welcome to the board.

“The current form of my understanding is as follows: We all were involved in Adam’s sin, and thus receive both the corrupted nature that was his after the fall, and the guilt and condemnation that attach to his sin. With this matter of guilt, however, just as with the imputation of Christ’s righteousness, there must be some conscious and voluntary decision on our part. Until this is the case, there is only a conditional imputation of guilt. Thus, there is no condemnation until one reaches the age of responsibility. If a child dies before becoming capable of making genuine moral decisions, the contingent imputation of Adamic sin does not become actual, and the child will experience the same type of future existence with the Lord as will those who have reached the age of moral responsibility and had their sins forgiven as a result of accepting the offer of salvation based upon Christ’s atoning death. The problem of the corrupted nature of such persons is presumably dealt with in the way that the imperfectly sanctified nature of believers will be glorified.”
(From Christian Theology, second edition, page 656)

I have two questions;

1) Since no man has the ability within himself, are the unregenerate excused the same way?

2) What is the specified age?

God bless,