Question

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

Answer 1

Answer:

The integers are 2,3,4

Step-by-step 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.

$\frac{3x}{3}=\frac{6}{3}$

$x=2$

∴ 1st integer = $2$

2nd integer = $2+1 = 3$

3rd integer = $2+2 = 4$