How old was Jacob when Joseph was born?
74 (http://www.sacredcalendar.info/AnnoMundi.html)
The age of Jacob at the birth of Joseph requires a calculation of 130-2-7-30-17=74. This is necessary because the Bible does not explicitly tell the age of Jacob when Joseph was born. You can take the age of Jacob when he stood before pharaoh (Genesis 47:9). Subtract the number of years of famine before Jacob came to Egypt (Genesis 45:6). Subtract the number of years of plenty (Genesis 41:53), minus the number of years before Joseph interpreted the pharaoh's dream (Genesis 41:46. Subtract the number of years before which God first called Joseph by giving him a dream of his future (Genesis 37:2). This formula will obtain Jacob's true age when Joseph was born.
91 years (https://answers.yahoo.com/question/index?qid=20100102103929AAET7Yy)
We know from the Bible data that Abraham was 100 years old when Isaac was born (Gen. 21:5). Next we know that Isaac was 60 years old when Jacob was born (Gen. 25:26). The age of Jacob when Joseph was born we derive as follows. We know that Jacob died at age 147 (Gen. 47:28), further do we know that Joseph was 30 years old when Pharaoh elevated him to second in power in Egypt (Gen. 41:46). Right at that time when Joseph was 30 years of age the 7 years of plenty began (Gen. 41:47) and Joseph harvested and stored the grain. This was followed by the 7 years of drought during which Jacob and his family moved to Egypt when he was 130 years old (Gen. 47:9). Calculation: (147 (Gen. 47:9) - 17 (Gen. 47:28)= 130). The year Jacob moved to Egypt was after the 2nd year in the drought (Gen. 45:6) before Jacob moved his whole family to Goshen. That would make the age of Joseph 39 when he met his father again and 56 years of age (39 + 17 = 56) when his father Jacob died. Joseph died when he was 110 years old (Gen. 50:22). Therefore Jacob was, 147 - 17 - 39 = 91 years of age when Joseph was born.
77 years (https://sites.google.com/site/calendarstudies/genesis-28-9)
Genesis 28:6 When Esau saw that Isaac had blessed Jacob, and sent him away to Padanaram, to take him a wife from thence; and that as he blessed him he gave him a charge, saying, Thou shalt not take a wife of the daughters of Canaan;
Genesis 28:7 And that Jacob obeyed his father and his mother, and was gone to Padanaram;
Genesis 28:8 And Esau seeing that the daughters of Canaan pleased not Isaac his father;
Genesis 28:9 Then went Esau unto Ishmael, and took unto the wives which he had Mahalath the daughter of Ishmael Abraham's son, the sister of Nebajoth, to be his wife.
The verses above give an account of events right after Isaac blesses Jacob. Recall that Jacob, the younger brother of Esau, took the blessing meant for Esau, Jacob's eldest son. As a result, Esau was very angry and had determined to kill his brother in revenge. However Rebekah learned of Esau's plan and encouraged Jacob to flee to her brother Laban in Haran (Padanaram). Rebekah also got the support of Jacob's father Isaac by reminding him how unhappy they were with Esau's Canaanite wives (Genesis 26:35), and how it would be better for Jacob to find a wife in the land of Haran instead (Genesis 27:46). Now it was at this time that verse 8 indicates that Esau, possibly in an attempt to regain favor with his father and upon learning that his parents were unhappy with the Canaanite wives he had, decides to go to take a wife of Abraham's son Ishmael, his father's brother. One might suspect Esau figured if he married into the family of Abraham's descendants, that this would satisfy his parents. In any case, we learn that Esau goes to Ishmael, and arranges to marry Ishmael's daughter Mahalath.
So why is this important? First, recall from Genesis 25:17 that Ishmael lived to be 137 years old. Also, Ishmael was 14 years older than Isaac being born when Abraham was 86 years old (Genesis 16:16), while Isaac was born when Abraham was 100 years old (Genesis 21:5). Further, we know Jacob and Esau were born to Isaac when he was 60 years old (Genesis 25:26). From these various ages we can determine that in the year Ishmael died (at 137 years old), Isaac who was 14 years younger, was 123 years old. And since Jacob and Esau were born when Isaac was 60 years old, then in the year Ishmael died they would both have been 63 years old. This means that the oldest Esau could have been when he went to visit Ishmael to marry his daughter Mahalath was 63 years old, and similarly, the oldest Jacob could have been when he left for Padanaram (Haran) was also 63 years old. Thus, we have established that the oldest Jacob could have been when he left his parents to go to Haran was 63 years old.
Note:
The Bible said Joseph was born after Jacob served Laban 14 years (before he served him additional 6 years) -
Thus, Joseph was born when Jacob was 63 + 14 = 77 years old.