I see both these scriptures as a disagreement to that statement. Our old bodies will not die, they will be changed from a dying flesh to an eternal flesh. Shalom. Pete Fisher:
Col 1:13 Who hath delivered us from the power of darkness, and hath translated [us] into the kingdom of his dear Son:Hbr 11:5 By faith Enoch was translated that he should not see death; and was not found, because God had translated him: for before his translation he had this testimony, that he pleased God.