According to the Torah, how many years between the birth of Yosef and the birth of Moses?
According to Seder Hadorot,
2368-2199 = 169 years.
Note that Joseph was born in the summer (27th of Tammuz), while Moses was born at the end of the winter (7th Adar), so 168.5 years might be a bit more accurate.
Joseph was 30 years old when he stood before Pharaoh (Genesis 41:46).
Joseph revealed himself and invited Jacob and his family to come to Egypt in the second year of the famine (Genesis 45:6) which would be approximately 9 years later (7 years of plenty plus 2 years of famine).
Moses was 80 when he stood before Pharaoh and initiated the plagues that culminated in the Exodus (Exodus 7:7).
Thus, we can write an equation “39 + X - 80 = Y”, where X is the total years the Israelites spent in Egypt and Y is the number of years between Joseph’s birth and Moses’s birth.
The value of X is subject to dispute among the commentaries, but the most popular view is that it was 210 years. If we go with that we would solve the equation as 39 + 210 - 80 = 169.