Answer: [tex]31[/tex]
Step-by-step explanation:
Consecutive integers are integers that follow each other in order.
Let the numbers be :
[tex]x, x+1 , x + 2[/tex]
Then , their sum implies
[tex]x + x + 1 + x + 2 = 90[/tex]
[tex]3x + 3 = 90[/tex]
subtract 3 from both sides
[tex]3x = 90 - 3[/tex]
[tex]3x = 87[/tex]
divide through by 3
[tex]x = 29[/tex]
Therefore : the numbers are
[tex]29 , 30 , 31[/tex]
That is , the largest number is [tex]31[/tex]
