Where does the Bible say that the sins of the father are passed to the children? Ezekiel 18 says exactly the opposite.

Romans 5 doesn't say we inherit Adam's sin but that we inherit the consequences of Adam's sin.

Exodus 20:5 says the iniquity of the fathers pass down for three or four generations. This is not referring to the sin itself, but to the effects of the sin of the children who grow up watching their parents sin and learn to do the same.

Psalm 51:5 says children are brought forth in iniquity and in sin they are conceived, but this doesn't refer to the child's sin but to the parent's sin.

The concept of original sin didn't come into being until early in the fifth century but there really isn't scriptural support for it.