Question

The sum of three consecutive integers is 264. What are the three integers?

Answer 1

`87, 88, 89`

Explanation:

Let the middle integer be `n`.
Then the three consecutive integers are: `n-1, n, n+1`
and there sum is `3n`

We are told
`color(white)("XXX")3n=264`
Dividing both sides by `3`, we find
`color(white)("XXX")n=88`

So the three numbers are `(n-1,n,n+1) = (87,88,89)`

Answer 2

`87, 88, 89`

Explanation:

Let the first number be `x`

Then, second number and third number`=x+1,x+2`

Now given is

`x+(x+1)+(x+2)=264`

`=>x+x+1+x+2=264`

`=>3x+3=264`

`=>3x=261`

`=>x=261/3=87`

Then the next two integers are `x+1=88,x+2=89`