Respuesta :

The largest of the three consecutive numbers whose sum equals to 84 is 29.

Answer:

The largest number is 29.

Step-by-step explanation:

Let the numbers be = x , x+1 , x+2

As given, their sum is 84, we can write as:

[tex]x+x+1+x+2=84[/tex]

=> [tex]3x+3=84[/tex]

=> [tex]3x=84-3[/tex]

=> [tex]3x=81[/tex]

x = 27

So, x+1= [tex]27+1=28[/tex]

And x+2 = [tex]27+2=29[/tex]

Hence, the largest number is 29.

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