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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:

\(x+x+1+x+2=84\)

=> \(3x+3=84\)

=> \(3x=84-3\)

=> \(3x=81\)

x = 27

So, x+1= \(27+1=28\)

And x+2 = \(27+2=29\)

Hence, the largest number is 29.

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