On the ratio between Bayit Rishon and Sheini against Yemot HaMoshiach.
The division is based on two numbers: 830 years and 220 years, which add up to 1050.
(For this drash I am only using round numbers.)
If we look at the numbers, they both end in 0, so let's divide by 10.
83 years and 22 years.
Both of these years are in the Chumash.
- Aharon was 83 years in the year 2448, when he became the first Cohen.
- Yosef didn't see Yaakov Avinu or his brothers for 22 years, due to being sold by his brothers (Mechirat Yosef).
The Zohar Chadash, in Maamar Mechirat Yosef (first couple of sentences), mentions these 22 years as an explanation as to why Am Yisrael spent 210 years in Mitzraim.
22 years * 10 tribes = 220 years. Subtract 10 years, 1 per the actual heads of the tribes that received a portion of Din in that they perished in Mitzraim, and you get 210 years.
Nonetheless, we know that the sin of Mechirat Yosef was not completely atoned for, see the matter of the Asarah Harugei Malchut. There is also a relation between Mechirat Yosef and the Sin of the Spies. For, as Midrash Tanchuma states, whatever happens to Yosef happens to Tzion, and thus they are equal in gematria (156).
I propose that Am Yisrael as a whole will have a final opportunity to fix the collective sin of Mechirat Yosef starting at the beginning of Yemot HaMoshiach. One of the main errors that caused Mechirat Yosef? It is hinted at during the brothers encounter with Yosef at the end of 22 years.
בראשית מב:ח - ויכר יוסף את אחיו, והם לא הכרהו
May our success come soon, let us all recognize Yosef at the beginning of these "22 years" and thereby repair the split between Yosef and Yehudah.
Breishit 42:8 - And Yosef recognized his brothers, but they didn't recognize him.