Answer:
27
Step-by-step explanation:
Let the no. of points scored in third game x
given that
A volleyball team scored 14 more points in its first game than in its third game
Then
no. of points scored in First game = x + 14
no. of points scored in Second game = 28
Total no of points scored in three games = x + x + 14 + 28 = 2x + 42
given that The total number of points scored was less than 80
thus
2x + 42 < 80
2x < 80 -42
2x < 28
x < 14
now we know that x is less than
and since x is point scored it will be integer as point cannot be in fraction
and greatest integer less than 14 will be 13
Thus, greatest point scored in third game will be 13
similarly greatest number of points the team could have scored in its first game will be x + 14 = 13 + 14 = 27