PINE : 5945 :: HERO : 8585 :: JUMP :

Solution

The logic used here is to take the unit digit of the position of each letter in the alphabet. PINE is coded as 5795 because P is the 16th letter (unit digit 6), I is the 9th letter (unit digit 9), N is the 14th letter (unit digit 4), and E is the 5th letter (unit digit 5). HERO is coded as 8501 because H is the 8th letter (unit digit 8), E is the 5th letter (unit digit 5), R is the 18th letter (unit digit 8), and O is the 15th letter (unit digit 5). Similarly, JUMP is coded as 1023 because J is the 10th letter (unit digit 0), U is the 21st letter (unit digit 1), M is the 13th letter (unit digit 3), and P is the 16th letter (unit digit 6).