Question

Question 7Which equation can be used to find three consecutive integerssuch that the sum of the smallest number and twice the middlenumber is equal to 20 more than the third number?A (x) + 2(x + 2) = (x + 4) + 206 (x) + 2(x + 2) = 20(x + 4)C (x) + 2(x + 1) = 20(x + 2)(x) + 2(x + 1) = (x + 2) + 201 point

Answer 1

D

Explanation

Step 1

Let

x represents the smallest number:

$x$

as those are three consectutive intergers, the next interger is:

$x+1$

this is the middle number:

middle number=x+1

the next consectutive number is

$\begin{gathered} x+1+1 \\ x+2 \end{gathered}$

so, the third number is x+2

Hence,

Step 2

the sum of the smallest number and twice the middle

number is equal to 20 more than the third number?

replacing:

twice the middle=2(x+1)

$\begin{gathered} (x)+2(x+1)=20+(x+2) \\ (x)+2(x+1)=(x+2)+20 \end{gathered}$

so, the answer is

D