If you are adding together 6 numbers from 97 to 122, the smallest possible sum would be

97+97+97+97+97+97=582

the largest possible sum would be

122+122+122+122+122+122=732

the difference, 732-582 =150 (for 151 distinct possible sums)

dividing that into 6 approximately equal spans 150/6=25

(but there will be more ways of generating sums in the middle spans than in the end spans)

97+97+97+97+97+97=582

the largest possible sum would be

122+122+122+122+122+122=73

the difference, 732-582 =150 (for 151 distinct possible sums)

dividing that into 6 approximately equal spans 150/6=25

(but there will be more ways of generating sums in the middle spans than in the end spans)