Three consecutive integers have a sum of 30. Which equation can be used to find x, the value of the smal
numbers?
o (X+ 1) + (x+2) = 30
X+(x+1)+(x+2) = 30
x(x+ 1)(x+2) = 30
3x(x+ 1)(x+2) = 30

Respuesta :

Answer:

It's the second choice.

Step-by-step explanation:

x + (x + 1) + (x + 2) = 30.

Solving for x will give you the smallest digit.

The equation x+(x+1)+(x+2) = 30 is used to find x.

The integers are 9, 10 & 11.

What is the required equation ?

If a, b, c are integers, then the sum of three integers is a+b+c

Let, x be a integer.

Then other two consecutive integers are, x+1 & x+2

Sum of this three integers is x+(x+1)+(x+2)

According to the question,

Sum of this three integers is 30

So, the equation becomes, x+(x+1)+(x+2) = 30

Now, solving, x+x+1+x+2 = 30

                      ⇒ 3x+3 = 30

                      ⇒ 3x = 27

                      ⇒ x = 27/3 = 9

So, (x+1) = 9+1 = 10 & (x+2) = 9+2 = 11

Therefore, the three consecutive integers are 9, 10 & 11

Learn more about equation here :

https://brainly.com/question/27893282

#SPJ2