Question

The sum of three consecutive integers is 165 what are the integers

Answer 1

54,55,56

Explanation:

Let the three consecutive integers be x,x+1,x+2

x+x+1+x+2=165

or, 3x+3=165

or, 3x=165-3

or, 3x=162

or, x=162/3

or, x=54

Now,

x+1=54+1=55

x+2=54+2=56

Answer 2

54, 55, 56

Explanation:

The first integer is x

so the second is x + 1

and the third is x + 2

Add all these together:

so (x) + (x+1) + (x+2) = 165

Group:

x + x + x + 1 + 2 = 165

Combine like terms:

3x + 3 = 165

3x = 162

x = 54

So the first integer is 54

The second is x + 1 = 54 + 1 = 55

And the third is x + 2 = 54 + 2 = 56

54 + 55 + 56 = 165