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If the sum of three consecutive even integers is 60 , 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

If the sum of three consecutive even integers is $60$ , 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

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Experimental probability

Full solution

Q. If the sum of three consecutive even integers is

60

, 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

Write equation: Now, we know that the sum of these three numbers is $60$ . So we write the equation: $x + (x + 2) + (x + 4) = 60$ .
Subtract to isolate: Subtract $6$ from both sides to isolate the $3x$ term: $3x + 6 - 6 = 60 - 6$ .
Divide to solve: Now, divide both sides by $3$ to solve for $x$ : $\frac{3x}{3} = \frac{54}{3}$ .
Find first integer: So, the first of the three consecutive even integers is $18$ .

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