In this puzzle, the result is based on the sum of digits:
For \( 8 + 12 = 4 \), sum of digits: \( 8 + (1 + 2) = 8 + 3 = 11 \), then sum of digits of 11 is \( 1 + 1 = 2 \), so the result is 4 (the next digit).
For \( 6 + 9 = 3 \), sum of digits: \( 6 + 9 = 15 \), then sum of digits of 15 is \( 1 + 5 = 6 \), which gives the next pattern.
Similarly, for \( 10 + 15 \), sum of digits: \( (1 + 0) + (1 + 5) = 1 + 6 = 7 \), and the final result is 5.