In a certain language, if PERSIST is written as 7591912, then how is ANCESTOR…

- Write down the positional values of letters in PERSIST: P=16, E=5, R=18, S=19, I=9, S=19, T=20.
- Find the single-digit sum of the positional values (digital root) for each letter:
P -> 1 + 6 = 7
E -> 5
R -> 1 + 8 = 9
S -> 1 + 9 = 10 -> 1 + 0 = 1
I -> 9
S -> 1 + 9 = 10 -> 1 + 0 = 1
T -> 2 + 0 = 2
- Combining these digits gives 75911912, but the question states it is written as 7591912. Notice that the consecutive 'S' and 'I' positions are condensed, or the absolute values are written by grouping S(1), I(9), S(1) as 191. Let's apply the single-digit logic to ANCESTOR.
- Write down the positional values of letters in ANCESTOR: A=1, N=14, C=3, E=5, S=19, T=20, O=15, R=18.
- Convert each positional value to a single digit by adding its digits: A -> 1 N -> 1 + 4 = 5 C -> 3 E -> 5 S -> 1 + 9 = 10 -> 1 + 0 = 1 T -> 2 + 0 = 2 O -> 1 + 5 = 6 R -> 1 + 8 = 9
- Combining the resulting digits sequentially gives: 15351269.