* Start with the words "mother" and "father."
* The phrase "adding two letters from the tare" suggests we need to use the word "tare" somehow. A tare is a weight deduction, usually associated with packaging.
* We need to take two letters from "tare" and add them to "mother" and "father" to create new words.
The solution:
* "Mother" + "ar" (from tare) = "Marther" (This isn't a real word, but it's a fun combination)
* "Father" + "ar" (from tare) = "Farther" (This is a real word, meaning at a greater distance)
So, while there isn't a single perfect synonym for "mother" or "father" created by adding letters from "tare," the closest we can get is "farther" for "father".