Question

There are 3 consecutive integers that add up to 9 which integers are they?

Answer 1

The integers are 2,3,4

Explanation:

Let one integer be =
`x`

Since, the integers are consecutive, so they will increase by one.

So, 2nd integer will be =
`x+1`

3rd integer will be =
`x+1+1=x+2`

It is given that the 3 integers add up to 9.

So, we have the sum equation as:

`x+x+1+x+2=9`

Solving for
`x`

Combining like terms.

`3x+3=9`

Subtracting both sides by 3.

`3x+3-3=9-3`

`3x=6`

Dividing both sides by 3.

`(3x)/(3)=(6)/(3)`

`x=2`

∴ 1st integer =
`2`

2nd integer =
`2+1 = 3`

3rd integer =
`2+2 = 4`