Answer:
Three consecutive numbers are 27,28,29
Step-by-step explanation:
Given : The sum of three consecutive integers is 84.
To find : What are the integers?
Solution : Let three consecutive numbers [tex]x, x+1, x+2[/tex]
So, according to given situation 'sum of three consecutive integers is 84'.
[tex]x+x+1+x+2=84[/tex]
[tex]\Rightarrow 3x+3=84[/tex]
[tex]\Rightarrow 3x=84-3=81[/tex]
[tex]\Rightarrow x=\frac{81}{3}[/tex]
[tex]\Rightarrow x=27[/tex]
So,[tex]x=27[/tex]
[tex]x+1= 27+1=28[/tex]
[tex]x+2=27+2=29[/tex]
Therefore, three consecutive numbers are 27,28,29
