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If the sum of three consecutive even integers is 12 , what is the first of the three even integers? (Hint: If
x and
x+2 represent the first two consecutive even integers, then how would the third consecutive even integer be represented?)
The first of the three even integers is
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If the sum of three consecutive even integers is $12$ , what is the first of the three even integers? (Hint: If $x$ and $x+2$ represent the first two consecutive even integers, then how would the third consecutive even integer be represented?) $\newline$ The first of the three even integers is $\square$

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Write equations of sine and cosine functions using properties

Full solution

Q. If the sum of three consecutive even integers is

12

, what is the first of the three even integers? (Hint: If

x

and

x+2

represent the first two consecutive even integers, then how would the third consecutive even integer be represented?)

\newline

The first of the three even integers is

\square

Define Even Integers: Let $x$ be the first even integer. $\newline$ The second even integer is $x + 2$ . $\newline$ The third even integer is $x + 4$ .
Set Up Equation: Set up the equation: $x + (x + 2) + (x + 4) = 12$ .
Combine Like Terms: Combine like terms: $3x + 6 = 12$ .
Subtract and Simplify: Subtract $6$ from both sides: $3x = 12 - 6$ .
Solve for x: Solve for x: $3x = 6$ .
Divide and Calculate: Divide both sides by $3$ : $x = \frac{6}{3}$ .
Divide and Calculate: Divide both sides by $3$ : $x = \frac{6}{3}$ .Calculate the value of $x$ : $x = 2$ .

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